If she DOES file the report (which I don't think she well, that's a little extreme considering she knows exactly where you are and could probs be arrested/fined for wasting cop time), then your parent's are seriously dumb and need to reconsider their methods.

Don't be sour to spite them. Talk to them, let them know YOUR concerns and needs and try to reassure them your not gonna get fucked up like your dad. You might wanna remind him speed is class A and he's a dumbass for doing it so often at your age anyway . Your parents want you to come home, so let them know what it'll take. Your not in the wrong.