The short answer is you're fucked. Hate to tell you this but it's just the truth. It's a scam LE uses to raise funds. There's a couple Fla towns that are famous for this scam. It was/is? they're only source of revenue in some cases. Going to court and fighting it with out video evidence of your innocence is going to be a waste of your time and your money. It doesn't matter who the cop is that shows up. 99% chance the "judge" (if it is a real judge and not a justice of the peace officer of the court) is going to take the cops word over yours every time. Go to school, pay the fines. It's the less costly solution of all your choices.
Here's an article of how the scam works:
OAAA - News