The police would laugh at you if you requested a restraining order in this circumstance. They also wouldn't grant it and if they did, do you know how much those things cost? Do you know they aren't enforced?
I think the girl is playing you for a fool. She is jail bait and going to get you locked up for rape or lose your job in the least. She is underage, so stay clear of her. She is playing a game with your head for fun and to impress her friends. Don't fall for it. I am female and I know what other girls do.