I would call it in, it sounds like a coordinated scam some how. I couldn't imagine that cops would make such a big deal over something so small. I bet there are other complaints of similar incidents. The only thing they got was your license which has your address on it. They may use the scam on people with nice cars to get your address where they could then try and steal it, idk.
It sounds pretty sketchy if you ask me, are you sure you didn't give out any other information?