1: bring your own. And I suggest getting one/two normal-sizes to sleep on (I have two stuffed inside one pillowcase, and next year with a double in my apt I'll have two pillows/cases but same thing..just depends on the pillow) and then a slightly bigger one (such as a body pillow) to lay around on and let people sit against the wall with if you have them over (your bed becomes your best friend to be anything from a bed to a couch to a desk to a storage area)
2: yes; first, find out what dorm your in, and they'll provide you with the room dimensions. Then coordinate with your roommate who will bring it. Look at Lowes/Home Depot, they're usually cheaper than the onsite carpet people.
3: Make sure you have fans if you're in a dorm without AC! (Old Dorms, all the "old" New Dorms except two). Normally each person just brings one, but I know my roommate first year had two big ones already so I just brought a smaller desk fan (better yet, get a clip fan...very versatile and so nice!). Again, coordinate with the roomie. As for TV, some people do and don't bring one. If you don't want it, and your roomie does, make them responsible. If you both want it, I guess flip a coin to see who buys if neither of you have an extra one at home. If you both don't want one, fine, no biggie. You should probably get a fridge and a microwave so you can cook easy stuff is the dining hall is closed or you just want something small and quick like cereal and milk. The rice cooker I think might be against the rules, but I won't condone bringing such item and keeping it out of sight and being careful!
Again, split up stuff like fans, rugs, TVs, microwaves, etc. See what each person has, then try to divy it up.
4: see below
5: I had one in Lambeth and loved it first semester because it got me to class in 5-10min instead of 10-20min. I wouldn't bring it at first, and just see how you get by. If you're in Old Dorms I definitely wouldn't bring it, you're 5imn tops to to anything. New Dorms maybe. Just wait and see, is my suggestion. I barely used it second semester as I walked to class with someone 3-4 days out of the week, and the other 1-2 I usually just bused it.
6: filmkeep has it right. 3M makes really cool hooks you can stick to the wall and they come off great (I had them up for the first time this year, and they came down very easily without residue). You can use those to hang it up, but I don't know if it's totally necessary.
Suggestions: Back to the fan...try to find one that has two smaller fans in one big unit that has reversable fans. This allows you to keep your window open pretty much year round and it adjust the speeds of the fans based on the temp you want. Also, you can set one to blow in and another to blow out, or both either way. Super nice. Two fit into the windows. Also, split up the big stuff. Bring less than you think you need! And try to leave the bulk of your winter clothes at home until Fall break if you can. Clothes take up a ton of room (especially if you're a girl).