1. Moria is one of the ancient homes of the dwarves. It was inhabited during the events of the Hobbit (featuring Bilbo). But Moria is no longer filled with dwarves, it has been a long time since one had been there. Gimli is eager to rediscover Moria and hopefully awaken it again. However, the others are less blind and are cautious.

2. Bill is unable to go through Moria, as there are stairs, steep places, and others. Plus, it is dangerous in there, and I think that Sam would rather let Bill go than see him die.

3. The Company waits as Gandalf tries to get the keyword so the Doors will open. Once that is done, they find Moria abandoned, even though Balin came here many years ago with the same goal as Gimli: to reclaim the lost land.

4. Mithril is like silver, but with much more worth. Mithril could buy the entire Shire! It's only found in Moria.

5. They were driven out? Balin then came, but he was killed. The Orcs keep the land as lost.

6. Bilbo gave him a mithril shirt, and it will protect him from any attacking blade.

7. They went through the Doors on the East Side of Moria, if I remember correctly.

8. Uhh-

9. The Elves don't trust Dwarves due to a rough past. 

10. Moria is underground, while Lothlorien is not. Lothlorien is a forest, while Moria is a cave. Moria is abandoned, but Lothlorien is not. Yet there were both homes to magical creatures.