Guys, how do I proceed?

I found out not long ago my boyfriend liked some girls photo he used to follow and had unfollowed because he was dating me. But he did this out of anger... long story short, he is insecure and thinks I'm cheating when he even admits I give him no reason for it. Now, I found out three months ago he liked a different girls photo he never followed, but was friends? with on Facebook before we were dating. (he also deleted her when we began dating 1 & half year ago) this was also done out of anger. I can't trust him at all and there's more he's done because the assumption I am being unfaithful. I am stuck living with him and am curious if anyone else has been in this situation and what some other options are.
Guys, how do I proceed?
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