Yep, definatley dont have to show you shit. Oh, and about getting the public defender, thats not gonna work. I do believe, correct me if i'm wrong, you must have a felony charge before the state thinks it is necessary to provide you with defense.
I would definatley with out a doubt be fighting in this situation. The officer was obviously on a power trip, if this story is in fact truthful. And the fact that she is gonna throw wreckless op out there well that is SIX points. Fuck that!! Go have a consultation with a lawyer and she what it is gonna cost you. It would be worth it. You will spend a little more money on court costs and lawyer fees, but think about the money you will save on insurance if you win!!