Unfortunately, I have no cards of my own to trade. Fortunately, I can help with your other two points. Understandably, these resources are old.
To your first point, I recommend Decipher's own postings of tournament deck lists. Since you can't just log onto DGMA anymore, you'll have to use the Internet Archive:
https://web.archive.org/web/20060816045334/http://www.dgma.com:80/content/default.asp?top=decklistsNow, notice that there's a little symbol to the right of each article title - The One Ring is for LotR decks. Sounds obvious, but a few times I skimmed through the titles and didn't notice that those were not the decks I was looking for.
Most of the links are there, but occasionally some of the articles won't have a corresponding page saved. The decklists seem to run from early War of the Rings Standard back to Fellowship Block. It's not the easiest database to navigate through by far, but I think it is the best (barring TLHH). My advice would be to copy & paste decks you see into a text or word document. The Internet Archive is mostly consistent, but there are some corner cases when saved web pages can be lost (or scrubbed entirely, should Decipher decide that it doesn't want anybody to benefit from anything it had done in the past (unlikely)).
Next is another fantastic website: The Gondorian. It's a bit decrepit, but it hasn't gone down yet and there's a lot of interesting resources here. I think the most used remains its booster pack simulator:
http://www.gondorian.com/lotrtcg/simulator.phpAs an added bonus, the results have links back to the wiki! Decide how many boosters you want, save the results somehow, build your deck. Unless I've misunderstood your question and you want to generate packs of cards from random sets -- I'm beat on that one, I think it'd have to be developed.
A notable alternative is to buy packs from Gemp's merchant and open them. If you have no cards in your collection, this is the best option since it comes with a good card management tool. That benefit diminishes if you have a lot of cards already since there's no way to distinguish between them.