Is he cheating?

After being hurt, it is very difficult to trust anyone again. You must try to realize that there are good guys out there and that your boyfriend deserves a chance to prove himself as one. If you are suspicious, talk to him about it. Of course, if you were snooping then I would not admit to that. You invaded his privacy and such actions might affect his trust for you. Talk to him about your relationship and be honest. If you open up to him and let him know that you have been hurt in the past, then he will most likely be more sensitive to your needs. Good luck.

From the way you are describing this, it seem like you are the one not over your last relationship. You had a bad luck with your ex - what that this guy has do with that?!

The way I see it there are two options:

The first is that this guy is wonderful, but with your last experience, you are more cautious and less trusting in men in general and so you are trying to catch him at it before you get really attached.

The second is that you have a pattern of dating unreliable cheating men, and that though this guy looks wonderful, he's really an asshole to.

For some reason, I think from the way you wrote it, focusing first on your last relationship and not giving any concrete reasons for suspecting the new guy, I think it's the first reason. Being hurt by someone you love is a really horrible experience, I think you need to fully recover  from the pain before you get serious with someone new. 

I don't like the term "get over" I don't think we get over anything, we learn to deal with it, and we change and we move on, but we can't erase the feeling or time spend in a relationship. Connections effect us in many ways. I think that acknowledging the  fact that you are still hurting about the way your ex treated you is the first step in recovery, then decide whether you need time apart to deal with it, or if you can find the place and time to focus on yourself from within the relationship.

I can understand why it's hard for you but you have to be careful not to jump to conclusions. If this is something you can't deal with on your own I would talk to your boyfriend about it. Just tell him that you understand that this has to do with your past but that you need him to reassure you that everything is OK between you and that he doesn't have feelings for his ex. I think he'll be understanding about the matter.

all you can do is keep your eyes and ears open. don't let your guards down any more. follow your  heart. always listen to yourself.

your heart has nothing to do with being hurt by anyone, your mind gives you the wisdom to  not allow anyone to abuse you in any way , shape or form, WOMEN STOP ALLOWING MEN TO TREAT YOU BADLY AND DENY YOURSELFS TO BE HAPPY EVEN IF IT MEANS BEING ALONE.