Lotr fans...ready on...help?

I've been a fan of J.R.R Tolkien, specifically the lord of the rings for awhile now, and was quite excited when my college english teacher has us doing research on the books. I need some outside advise or opinions on these ones: What is the archetype or allegory (I know that Tolkien claims there are no allegories in LOTR, but assume that there is) attached to the fellowship of the ring, more specifically to the recent movie. And what are the first 3 beginnings of the film, since the books are full of new beginnings, claimed by my professor. If you have any thing to say, speak up. I would love to hear from you. Thanks.