What can I do if I am being accused of prostitution?

I was out of town staying in a hotel for school. Apparently, there was some sort of prostitution ring that occurred at the same hotel I was staying at midway through the week. Low and behold, I'm pulled over immediately after leaving the parking lot end of the week. I came back to visit my baby and fiance on my lunch break and the parking lot was clear. Literally, ten minutes later when I come out, the parking lot is staked with three cops. I look over at them on the way to my car thinking, "What the heck is going on now?" Little did I know, they were there for me! I pull out of the parking lot, sure to come to a complete and signaled stop and 20 Ft down the road they're behind me with their lights on. I pull over and am approached, I asked what I did wrong and am informed I have a broken tail light (middle of the DAY, no lights on but thought nothing of it.) Officer proceeds with DL and ins. check. He then continues on interrogating me about my business at the hotel, whose name I'm under, how long I've been here and how long I will be, etc. I'm not in tears asking if I'm in trouble or if I can go because I'm going to be late to a class that's mandated attendance, on time. Meanwhile I have an office on the passenger side searching my car for the windows, nose pressed to the glass. I check ALL lights later during the day after a 30 min traffic stop, no lights were out. Is there any legal recourse? This situation is very upsetting to me because I don't feel like they should have so much power over me to the point I was distraught and brought to tears.