Falsely accused

I've been falsely accused of sexual assault more than five years ago. I don't live in USA, but I want to be sure that I can go there without running the risk of going to court. I waited more than 4 months since the police asked me questions for the first time until I left the country. I was always available for questions, they knew that I was about to leave the country and they have my current address. Should I be worried or it's completely safe for me to go back to USA for vacation? I read terrible things about how hard it is for innocent people to prove not to be guilty. The accuser had already history of a false accusation of sexual assault.

Thanks a lot! I have ho clue about where to get these information!