Extreme jealousy and trust issues

My boyfriend of three years started vocalizing his jealousy/trust issues back in august. I mean, I'm glad he's being honest with me about what he is feeling.. but it is taking a toll on me.
The last 2 girls he dated cheated on him and basically messed with his head. So, he has severe trust issues.

I rarely go out due to working two jobs with a minimum of 55 hrs per week. But when I do go out, he starts blowing up my phone and verbally attacking me via text message. And he needs to know where i'm going and when i'll be home. if i'm not home at said time he will call. Last saturday, i couldnt take it so i texted him "this is the last time i'm replying to you. go to bed." He replied "whatever, i'm up worrying about you and you could care less. You probably don't want to reply bc you're too busy chatting up other guys.. cant let them know you have a boyfriend!" .. so i replied f*ck off. I told him i'd be home by midnight.. but i stayed til last call (i lost track of time). So.. i got a phone call and the first thing he says to me is "where are you, b*tch".. so i hung up.

and didnt go home til 2.

I'm not sure if this is worth trying to fix.. or should i just leave? i'm stuck