I wouldn't hate you. What I read is that you're hating yourself a lot and that you have a lot of issues right now. That you're afraid you did unspeakable things. It's possible that your thoughts are clouded. Everyone sees things within his own experiences and we perceive things differently because of it. It's possible that you, because of your own experiences, judge and remember your actions worse than they were. The things you describe that you did, yes 'normal people' would find them odd. And they are signs of underlying issues. They aren't evil.
I don't think you did horrible things. But if you did, if you did things much worse than you described, you still aren't evil. Because you care about the children. You've been actively trying to figure out if it happened. You are feeling guilty, talked to the parents, don't hide it or lie about it etc. People can do bad things, but don't have to be evil. The actions, feelings and thoughts you describe after you did the 'odd things' prove this. Even if this didn't occur immediately after.
However, you're feeling too guilty and this is bad for you. It's good that you talk about it. Very good. It took me many hears and inly my boyfriend knows everything. I've had feelings and thoughts like this as well. That I did horrible things, that I am horrible. That I deserved what happened in the past because it was some sort of punishment because people could already feel I was evil when I was a young child. Guilt, shame, self-blame, self-hate, denial etc. Often people with PTSD, or who experienced abuse as a child, have a period in which they are really focused on sex and things that have to do with it. Such as masturbation. Usually you don't understand what you're actually doing and why. And usually you have periods before or after in which you detest intimacy and want nothing to do with it at all.
I understand that you feel like the things that happened in the past are like an excuse. They aren't, but it cam explain why you act or think like you do and make it understandable. You can cut yourself some slack. Some people misuse their past to do bad things on purpose and try to get away with it by saying they have traumas and they're so pathetic. You're not doing that. Most people don't do that.