I screwed up and now he won't talk to me. What should I do?

I accused him of being interested in my brother's ex-girlfriend. I only thought this because he's cheated before and he was getting very flirty with her on facebook. Maybe a day before I noticed this, I sent her a message about something unrelated to my boyfriend. After I noticed, I confronted him because I'm still having a hard time trusting him. He called me crazy and said he's tired of me acting like that. He told me to leave him alone. To make matters worse, he found out about me messaging her and texted me to stop bugging both of them. I tried to explain but he ended with the same "stop bugging us". I asked if it was really over? I wouldn't answer.

Is this fixable or is he really done?
I screwed up and now he won't talk to me. What should I do?
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