Can my roommate sue over a sublet?

Can roommate legally sue? I Sublette a room in my apartment. We signed an agreement saying he would stay there 3 months. It's been just 1 week and it's been absolute hell. He as I later found out works from home so he's here 24/7, moved his puppy in who's been crapping all over the place, as well as his boyfriend and his dog., He's leaves the shower running for hours without even being in the bathroom, does 2 loads of laundry per day, constantly curses me out, smokes pot in his bathroom, keeps feeding my dog when I tell him not to who's been having diarrhea since he's moved in, goes on manic rages in the middle of the night screaming & shouting, went off on the building door lady who called the cops on him, etc. I told him he has to leave by the end of the month now he's threatening to sue me saying I can't legally kick him out because we had a written agreement. Does he have a case? And what can I do, I’m about to have a nervous breakdown over this individual!! And would it be possible to even kick him out earlier, like in 2 days? He’s only paid up until Tuesday then was going to pay for the rest of the month. But he's saying now he's going to keep the shower running 24/7 until he leaves! I really can't take this for a 10 days. Please help.