Whenever I binge drink, I blackout. And the next day I'm always paranoid about what I might have done. In terms of the police, I think it's one that you can ignore, if you had done something then they would come to you pretty quickly.
For me the worry is that I've send messages via my phone or called someone drunk. On Sunday I lost my phone and couldn't even check my call/message history. I've got business contacts in the phone....
So no, what you are feel is normal and you aren't crazy. We all know the solution, it's to not get into this situation. Easier said than done, but you have to keep trying and stay strong.