You need to work in group but your flat look like more at a kennel than a palace? So you think that you will be a little bit packed together if you invite friends to work.
Don't worry Paris have good public library.
You will be able to work in groups (if you arrived to keep quiet for a while party animals), to borrow books, cds and dvds. You will also have an internet acces with public wireless or if your laptop is down you can also use library's computer.
Before I let you have a look in library's map, just peak a sneak in our cheap place to eat section, because some library are just close to student's restaurant and trust me, having a restaurant or a cafeteria is good for a break!
Dammit, you got in the trap, now you cannot have excuses of not doing the work ;D