About the one month penalty, it totally depends on your contract terms and condition. As I know, generally all contract has this termination clause.

About furniture, they do add this line that while leaving the place, it should be exactly as it was handed over. So honestly it depends on the type of company you are dealing with. Good companies will consider this wear and tear and will understand stuff. Others will just try to exploit the situation.

No harm in trying to fight your case but 2 needs to be considered.
1- Did you register/stamped your contract in municipality?
2- If these conditions are part of contract or not?

Answers to them will let you know if you are going to win this or not.