Am I wrong in not trusting my husband?

My husband spends all his ‘free time’ on the computer. This has always been a problem due to several different situations. Examples- No family time, no conversation, never going anywhere as a family, etc.
But know there are new factors. It started with Face Book, before we were married he cheated on me. A year ago he looked her up, when I saw this and said something well basically that ended with him throwing the computer into the wall. Yet again, he re-added the same female. And was leaving extremely flirtatious comments on other females profiles. This once more was a big fight and he deleted his account, which only made certain people in his life blame me.
He has since recreated another profile, I was added, then he deleted me.
Now, it’s to the point to where he has so many blocks on our computer I can’t even access SEVERAL sites! And when I pulled our history it showed dating sites, more than 1 facebook account-which had comments like, I love being single.
I know you can’t physically cheat through a computer but… What I’m thinking or feeling is he’s not being totally honest with me.
If I bring anything up his immediate response is anger. And I even think, I’m not sure, but think he’s going through all my computer history just to make sure I’ve found nothing.
All this is on top of weird phone #‘s, filtering his work phone, a flirty text JUST last month and…. lack of intimacy?
Am I wrong to feel as though I can’t trust him? Or am I the one who is in the wrong?