I will list every thing in order:

1. The Life of Celeborn and Galadriel
2. The Love of Arwen and Aragorn
3. Movie Mistakes

Galadriel and Celeborn

Chapter 1:- Eriador

Galadriel was the daughter of Finarfin, and sister of Finrod Felagund. She was welcome in Doriath, because of her mother Eärwen, daughter of Olwë, was Telerin and the niece of Thingol, and because the people of Finarfin had had no part in the Kinslaying of Alqualondë; and she became a friend of Melian. In Doriath she met Celeborn, grandson of Elmo the brother of Thingol. For love of Celeborn, who would not leave Middle-earth (and probably with some pride of her own, for she had been one of those eager to adventure there), she did not go West at the Downfall of Melkor, but crossed Ered Lindon with Celeborn and came into Eriador. When they entered that region there were many Noldor in their following, together with Grey-elves and Green-elves; and for a while they dwelt in the country about Lake Nenuial (Evendim, north of the Shire). Celeborn and Galadriel came to be regarded as Lord and Lady of the Eldar in Eriador, including the wandering companies of Nandorin origin who had never passed west over Ered Lindon and come down into Ossiriand. During their sojourn near Nenuial was born, at some time between the years 350 and 400, their son Amroth. (The time and place of Celebrian’s birth, whether here or later in Eregion, or even later in Lórien, is not made definite.)

But eventually Galadriel became aware that Sauron again, as in the ancient days of the captivity of Melkor, had been left behind. Or rather, since Sauron had as yet no single name, and his operations had not been perceived to proceed from a single evil spirit, prime servant of Melkor, she perceived that there was an evil controlling purpose abroad in the world, and that it seemed to proceed from a source further to the East, beyond Eriador and the Misty Mountains.

Celeborn and Galadriel therefore went eastwards, about the year 700 of the Second Age, and established the Noldorian realm of Eregion. It may be that Galadriel chose it because she knew of the Dwarves of Khazad-dum. There were and always remained some Dwarves on the eastern side of Ered Lindon, where the very ancient mansions of Nogrod and Belegost had been – not far from Nenuial; but they had transferred most of their strength to Khazad-dum. Celebron had no liking for Dwarves of any race, and never forgave them for their part in the destruction of Doriath; but it was only the host of Nogrod that took part in that assault, and it was destroyed in the battle of Sarn Athrad. The Dwarves of Belegost were filled with dismay at the calamity and dear for its outcome, and this hastened their departure eastwards to Khazad-dum. Thus the Dwarves of Moria may be presumed to have been innocent of the ruin of Doriath and not hostile to the Elves. In any case, Galadriel was more far-sighted in this than Celeborn; and she perceived from the beginning that Middle-earth could not be saved from ‘the residue of evil’ that Morgoth had left behind him save by a union of all the peoples who were in their way and in their measure opposed to him. She looked upon the Dwarves also with the eye of a commander, seeing in them the finest warriors to pit against the Orcs. Moreover Galadriel was a Noldo, and she had natural sympathy with their minds and their passionate love of crafts of hand, a sympathy much greater than that found among many of the Eldar: the Dwarves were ‘the Children of Aulë’, and Galadriel, like other of the Noldor, had been a pupil of Aulë and Yavanna in Valinor.

Chapter 2:- Celebrimbor

Galadriel and Celeborn had in their company a Noldorian craftsman named Celebrimbor. Celebrimbor had ‘an almost “dwarvish” obsession with crafts’; and he soon became the chief artificer of Eregion, entering into a close relationship with the Dwarves of Khazad-dum, among whom his greatest friend was Narvi. Both Elves and Dwarves had great profit from this association: so that Eregion became far stronger, and Khazad-dum far more beautiful, than either would have done alone.

The building of the chief city of Eregion, Ost-in-Edhil, was begun in about the year 750 of the Second Age. News of these things came to the ears of Sauron, and increased the fears that he felt concerning the coming of the Númenóreans to Lindon and the coasts further south, and their friendship with Gil-galad; and he heard tell also of Aldarion, son of Tar-Meneldur the King of Númenor, now become a great ship-builder who brought his vessels to haven far down into the Harad. Sauron therefore left Eriador alone for a while, and he chose the land of Mordor, as it was afterwards called, for a stronghold as a counter to the threat of the Númenórean landings. When he felt himself to be secure he sent emissaries to Eriador, and finally, in about the year 1200 of the Second Age, came himself, wearing the fairest form that he could contrive.

But in the meantime the power of Galadriel and Celeborn had grown, and Galadriel, assisted in this by her friendship with the Dwarves of Moria, had come into contact with the Nandorin realm of Lórinand on the other side of the Misty Mountains. This was peopled by those Elves who forsook the Great Journey of the Eldar from Cuiviénen and settled in the woods of the Vale of the Anduin; and it extended into the forests on both sides of the Great River, including the region where afterwards was Dol Guldur. These Elves had no princes or rulers, and led their lives free of care while all Morgoth’s power was concentrated in the North-west of Middle-earth; ‘but many Sindar and Noldor came to dwell among them, and their “Sindarizing” under the impact of Beleriandic culture began’. Galadriel, striving to counteract the machinations of Sauron, was successful in Lórinand; while in Lindon Gil-galad shut out the emissaries and even Sauron himself. But Sauron had better fortune with the Noldor of Eregion and especially with Celebrimbor, who desired in his heart to rival the skill and fame of Fëanor.

In Eregion Sauron posed as an emissary of the Valar, sent by them to Middle-earth or ordered by them to remain there to give aid to the Elves. He perceived at once that Galadriel would be his chief adversary and obstacle, and he endeavoured therefore to placate her, bearing her scorn with outward patience and courtesy. Sauron used all his arts upon Celebrimbor and his fellow-smiths, who had formed a society or brotherhood, very powerful in Eregion, the Gwaith-i-Mirdain; but he worked in secret, unknown to Galadriel and Celeborn. Before long Sauron had the Gwaith-i-Mirdain under his influence, for at first they had great profit from his instruction in secret matters of their craft. So great became his hold on the Mirdain that at length he persuaded them to revolt against Galadriel and Celeborn and to seize power in Eregion; and that was at some time between 1350 and 1400 of the Second Age. Galadriel thereupon left Eregion and passed through Khazad-dum to Lórinand, taking with her Amroth and Celebrian; but Celeborn would not enter the mansions of the Dwarves, and he remained behind in Eregion, disregarded by Celebrimbor. In Lórinand Galadriel took up rule, and defence against Sauron.

Chapter 3:- Sauron and the Battles of Middle-earth

Sauron himself departed from Eregion about the year 1500, after the Mirdain had begun the making of the Rings of Power. Now Celebrimbor was not corrupted in heart or faith, but had accepted Sauron as what he posed to be; and when at length he discovered the existence of the One Ring he revolted against Sauron, and went to Lórinand to take counsel once more with Galadriel. They should have destroyed all the Rings of Power at this time, ‘but they failed to find the strength’. Galadriel counselled him that the Three Rings of the Elves should be hidden, never used, and dispersed, far from Eregion where Sauron believed them to be. It was at this time that she received Nenya, the White Ring, from Celebrimbor, and by its power the realm of Lórinand was strengthened and made beautiful; but its power upon her was great also and unforeseen, for it increased her latent desire for the Sea and for return into the West, so that her joy in Middle-earth was diminished. Celebrimbor followed her counsel that the Ring of Air and the Ring of Fire should be sent out of Eregion; and he entrusted them to Gil-galad in Lindon.

When Sauron learned of the repentance and revolt of Celebrimbor his disguise fell and his wrath was revealed; and gathering a great force he moved over Calenardhon (Rohan) to the invasion of Eriador in the year 1695. When news of this reached Gil-galad he sent out a force under Elrond Half-elven; but Elrond had far to go, and Sauron turned north and made at once for Eregion. The scouts and vanguard of Sauron’s host were already approaching when Celeborn made a sortie and drove them back; but though he was able to join his force to that of Elrond they could not return to Eregion, for Sauron’s host was far greater than theirs, great enough both to hold them off and closely to invest Eregion. Al last the attackers broke into Eregion with ruin and devastation, and captured the chief object of Sauron’s assault, the House of Mirdain, where were their smithies and their treasures. Celebrimbor, desperate, himself withstood Sauron on the steps of the great door of the Mirdain; but he was grappled and taken captive, and the House was ransacked. There Sauron took the Nine Rings and other lesser works of the Mirdain; but the Seven and the Three he could not find. Then Celebrimbor was put to torment, and Sauron learned from him where the Seven were bestowed. This Celebrimbor revealed, because neither the Seven nor the Nine did he value as he valued the Three; the Seven and the Nine were made with Sauron’s aid, whereas the Three were made by Celebrimbor alone, with a different power and purpose. Concerning the Three Rings Sauron could learn nothing from Celebrimbor; and he had him put to death. But he guessed the truth, that the Three had been committed to Elvish guardians: and that must mean to Galadriel and Gil-galad.

In black anger he turned back to battle; and bearing as a banner Celebrimbor’s body hung upon a pole, shot through with Orc-arrows, he turned upon the forces of Elrond. Elrond had gathered such a few of the Elves of Eregion as had escaped, but he had no force to withstand the onset. He would indeed have been overwhelmed had not Sauron’s host had been attacked in the rear; for Durin sent out a force of Dwarves from Khazad-dum, and with them came Elves of Lórinand led by Amroth. Elrond was able to extricate himself, but he was forced away northwards, and it was at that time that he established a refuge and stronghold at Imladris. Sauron withdrew the pursuit of Elrond and turned upon the Dwarves and the Elves of Lórinand, whom he drove back; but the Gates of Moria were shut, and he could not enter. Ever afterwards Moria had Sauron’s hate, and all Orcs were commanded to harry Dwarves whenever they might.

But now Sauron attempted to gain the mastery of Eriador: Lórinand could wait. But as he ravaged the lands, slaying or drawing off all the small groups of Men and hunting the remaining Elves, many fled to swell Elrond’s host to the northward. Now Sauron’s immediate purpose was to take Lindon, where he believed that he had most chance of seizing one, or more, of the Three Rings; and he called in therefore his scattered forces and marched west towards the land of Gil-galad, ravaging as he went. But his force was weakened by the necessity of leaving a strong detachment to contain Elrond and prevent him coming down upon his rear.

Now for long years the Númenóreans had brought in their ships to the Grey Havens, and there they were welcome. As soon as Gil-galad began to fear that Sauron would come with open war into Eriador he sent messages to Númenor; and on the shores of Lindon the Númenóreans began to build up a force and supplies for war. In 1695, when Sauron invaded Eriador, Gil-galad called on Númenor for aid. Then Tar-Minastir the King sent out a great navy; but it was delayed, and did not reach the coasts of Middle-earth until the year 1700. By that time Sauron had mastered all Eriador, save only besieged Imladris, and had reached the line of the River Lhûn. He had summoned more forces, which were approaching from the south-east, and were indeed in Enedwaith at the Crossing of Tharbad, which was only lightly held. Gil-galad and the Númenóreans were holding the Lhûn in desperate defence of the Grey Havens, when in the very nick of time the great armament of Tar-Minastir came in; and Sauron’s host was heavily defeated and driven back. The Númenórean admiral Ciryatur sent part of his ships to make a landing further to the south.

Sauron was driven away south-east after great slaughter at Sarn Ford; and though strengthened by his force at Tharbard he suddenly found a host of the Númenóreans again at his rear, for Ciryatur had put a strong force ashore at the mouth of the Gwathló, ‘where there was a small Númenórean harbour’. In the Battle of the Gwathló Sauron was routed utterly and he himself narrowly escaped. His small remaining force was assailed in the east of Calenardhon, and he with no more than a bodyguard fled to the region afterwards called Dagorlad, whence broken and humiliated he returned to Mordor, and vowed vengeance upon Númenor. The army that was besieging Imladris was caught between Elrond and Gil-galad, and utterly destroyed. Eriador was cleared of the enemy but lay largely in ruins.

"Moreover," he said, "Arathorn is a stern man of full age, and will be chieftain sooner than men looked for; yet my heart forebodes that he will be shortlived."

But Ivorwen, his wife, who was also foresighted, answered: "The more need of haste! The days are darkening before the storm, and great things are to come. If these two wed now, hope may be born for our people; but if they delay, it will not come while this age lasts."

And it happened that when Arathorn and Gilraen had been married only one year, Arador was taken by hill-trolls in the Coldfells north ot Rivendell and was slain; and Arathorn became Chieftain of the Dúnedain. The next year Gilraen bore him a son, and he was called Aragorn. But Aragorn was only two years old when Arathorn went riding against the Orcs with the sons of Elrond, and he was slain by an orc-arrow that pierced his eye;and so he proved indeed shortlived for one of his race, being by sixty years old when he fell. Then Aragorn, being now the Heir of Isidur, was taken with his mother to dwell in the house of Elrond; and Elrond took the place of his father and came to love him as a son of his own. But he was called Estel, that is "Hope", and his true name and lineage were kept secret at the bidding of Elrond; for the Wise then knew that the Enemy was seeking to discover the Heir of Isildur, if any remained upon earth.

But when Estel was only twenty years of age, it chanced that he returned to Rivendell after great deeds in the company of the sons of Elrond; and Elrond looked at him and was pleased, for he saw that he was fair and noble and was early come to manhood, though he would yet become greater in body and in mind. That day therefore Elrond called him by his true name, and told him who he was and whose son; and he delivered to him the heirlooms of his house.

"Here is the ring of Barahir," he said, "the token of our kinship from afar; and here also are the shards of Narsil. With these you may yet do great deeds; for I foretell that the span of your life shall be greater than the measure on Man, unless evil befalls you or you fail at the test. But the test will be hard and long. The Sceptre of Annúminas I withhold, for you have yet to earn it."

The next day at the hour of sunset Aragorn walked alone in the woods, and his heart was high within him; and he sang, for he was full of hope and the world was fair. And suddenly even as he sang he saw a maiden walking on the greensward among the white stems of the birches; and he halted amazed, thinking that he had strayed into a dream, or else that he had received the gift of the Elf-minstrels, who can make the things of which they sing appear before the eyes of those that listen. For Aragorn had been singing a part of the Lay of Lúthien which tells of the meeting of Lúthien and Beren in the forests of Neldoreth. And behold! there Lúthien walked before his eyes in Rivendell, clad in a mantle of silver and blue, fair as the twilight in Elven-home; her dark hair strayed in a sudden wind, and her brows were bound with gems like stars.

For a moment Aragorn gazed in silence, but fearing that she would pass away and never be seen again, he called to her crying, Tinúviel, Tinúviel! even as Beren had done in the Elder Days long ago.

Then the maiden turned to him and smiled, and she said: "Who are you? And why do you call me by that name?"

And he answered: "Because I believed you to be indeed Lúthien Tinúviel, of whom I was singing. But if you are not she, then you walk in her likeness."

"So many have said," she answered gravely, "Yet her name is not mine. Though maybe my doom will be not unlike hers. But who are you?"

"Estel I was called," he said; "but I am Aragorn, Arathorn's son, Isuldur's Heir, Lord of the Dúnedain"; yet even in the saying he felt that this high lineage, in which his heart had rejoiced, was now of little worth, and as nothing compared to her dignity and loveliness.

But she laughed merrily and said: "Then we are akin from afar. For I am Arwen Elrond's daughter, and am named also Undómiel."

"Often it is seen," said Aragorn, "that is dangerous days men hide their chief treasure. Yet I marvel at Elrond and your brothers; for though I have dwelt in this house from childhood, I have heard no word of you. How comes it that we have never met before? Surely your father has not kept you locked up in his hoard?"

"No," she said, and looked up at the Mountains that rose in the east. "I have dwelt for a time in the land of my mother's kin, in far Lothlórien. I have but lately returned to visit my father again. It is many years since I walked in Imladris."

Then Aragorn wondered, for she had seemed of no greater age than he, who had lived yet no more than a score of years in Middle-earth. But Arwen looked in his eyes and said: "Do not wonder! For the children of Elrond have the life of the Eldar."

Then Aragorn was abashed, for he saw the elven-light in her eyes and the wisdom of many days; yet from that hour he loved Arwen Undómiel daughter of Elrond.

Movie Mistakes

Please note: Book vs. film discrepancies are not included, as no doubt there are lots and also they don't count as movie mistakes.

1. In the scene where Sam and Frodo are in the field with the scarecrow, you can plainly see a car cruising past in the distance, from right to left.

2. After the battle with the cave troll, Aragorn rushes over to injured Frodo and brushes past some big rocks which wobble, showing that they are clearly lightweight and not real.

3. When Frodo is recovering in Rivendell he goes out onto a balcony, places his hand on the railing and looks out over the city. However, the railing for Frodo is waist high. Seeing as how he is a 3-foot Hobbit in a city of human-sized elves, the railing should be over his head.

4. As Boromir and Aragorn talk right before Boromir dies, you can see Boromir's right hand gripping Aragorn's left shoulder in the shot from behind Aragorn's right shoulder, but when the camera veiw changes to Boromir's perspective, looking up at Aragorn, his hand is not there. The scene goes back and forth between these two views several times.

5. When Frodo awakes in the bed in Rivendell, Frodo's shirt is open and the sheet low down on the bed in the first shot, and then his shirt's closed and the sheet pulled substantially higher in the next shot.

6. When Frodo stops rolling down the snow covered hill, just before the shot of Boromir picking up the ring, the place where Frodo's fake hobbit foot and real leg meet is visible (it's usually covered by his trousers).

7. When Gandalf and Saruman are talking in Orthanc, we can see a black strap around Gandalf's fingers on the hand holding his staff. In some shots it's around different fingers, in others it's disappeared completely.

8. When they are in front of the 2 big statues, the statues raise their left arms. When they pass them and you can see them from behind, one statue has raises its left arm and the other its right arm.

9. When Boromir walks towards Merry and Pippin to rescue them in a brief shot his elven-cloak is open. In the next shot the cloak is perfectly sealed with the broach again.

10. Before the passage of Carhadras, Boromir is fencing with Merry and Pippin. When they tackle him you can see Merry's face and it's obviously a dwarf stand-in for the actor.

11. Near the end when Frodo has tears running down his face. In the first shot the tear on his right side is short and the left side tear is down to his chin. in the next shot they are reversed.

12. When Boromir goes to the door of Balin's Tomb in the mines you can see Aragorn in the background putting his torch on the ground, then when it switches to Aragorn and the others he puts the torch down again.

13. Most of the time the hobbits are barefoot, but when Frodo and Sam are first walking through the fields, Frodo's leg come above long-grass level and his shoe is clearly visible.

14. When Borimir is about to die and Strider is running towards him, one of the supposedly dead Orcs lifts his head to watch Strider run by and then promptly lays his head down again.

15. In Bag End, once Bilbo has left, and has left the ring on the doorstep inside, Frodo walks in and looks at the ring. From above, one shot of the ring shows it on a different surface than in Bag End (it is grey with grooves, not reddish with cracks). This shot was obviously taken from when the ring lays atop the table in the middle of the council of Elrond.

16. When Arwen enters the water after being chased by the Ringwraiths, as she turns the horse, you can clearly see the fake hobbit (representing an injured Frodo), bounce up and down like a rubber band.

17. When Frodo is recovering in Rivendell from the Ringwraith dagger he is first seen lying in the bed with a chain necklace clearly visible (to which the ring is attached) - in following scenes the necklace is sometimes there - sometimes not.

18. Director Peter Jackson makes a cameo as the first menacing figure the hobbits run into in Bree.

19. When Frodo is lying on the floor after Arwen defeats the Nazgul you can see a pimple under the right side of his mouth. The same pimple can be seen when the fellowship aproaches the Pillar of the Kings on the Emyn Muil; in the rest of the movie there is no pimple.

20. When Sam tells Frodo that if he take another step, he will be farther away from home than ever before, he stands next to a scarecrow. In the next scene, we see both Sam and Frodo, and Sam has passed the scarecrow by several metres. Another zoom at Sam, and he stands by the Scarecrow again.

21. In the beginning, Gandalf's pipe keeps mysteriously vanishing from each scene, when he is guiding the cart with Frodo.

22. When they are all walking up the snowy mountain the camera starts off with a larger view and then goes to a closer view of the people. In the larger view there are no footprints but in the smaller view there are.

23. When Frodo and Gandalf are talking in the kitchen of Frodo's house, watch Frodo. He pours some tea into a cup, and then the very next scene, he is drinking from a cup, all in a split second as the conversation continues.

24. At the end of the movie, when Frodo takes the boat to continue on his own. Sam runs into the water to follow Frodo as he promised Gandalf. When Sam is about half way to the boat, he goes under water because he can not swim. He almost reaches the bottom of the flood, and does not swim up at any time. Suddenly, Frodo takes his hand and pulls him into the boat, but Frodo has not moved an inch and Sam did not swim to the surface.

25. When the hobbits rush to get off the road at Frodo's demand, the space to both sides of the tree in the upper-right-hand side of the screen is clear. Seconds later, the Rider appears on the left side of the tree, having never appeared on the right side of the tree. There doesn't seem to be any bend in the road that could explain this sudden appearance...

26. On top of the mountain ridge (after Boromir gives the dropped ring back to Frodo) there is a conversation between Gandalf and Strider. As the camera flicks back and forth between Gandalf and Strider, Gandalf is in sunlight but Strider is in shadow - despite the two only being about 5 metres apart.

27. When traveling after Rivendell the fellowship is shown from several diffrent views, never showing a horse. Then just before entering Moria they remove a saddle from one and state that a mine is no place for a horse.

28. Not long after leaving Bree we have the sketch about the second breakfast. Once Aragorn tells them to move on, he throws an apple which Merry catches, followed by one that hits Pippin on the head, and then Pippin subsequently catches. However, as the apple hits his head, he has already raised his hand enough to show the apple he is already holding, before the original had left the screen. Therefore at one point there are 3 apples on screen, wheeras only 2 are thrown.