I'm not going to come in here and try to say that you absolutely have to dump him. That being said: there's a clear communication problem between the two of you. I'm not sure if this has always been a long distance relationship, but he clearly is caught up in a state of paranoia. I'm not sure why it is, but if you want your relationship to hold up, he's going to have to be taken out of it. There's nothing wrong with you wanting to hang around with guys by yourself (assuming of course, like I am, that nothing happens), but you guys should be being honest with each other. If he's going to insist you tell him, he really needs to tell you where he's going. And he has no business telling you what your resolutions should be. You're your own, independent person. If you want to break up with him, well, you're perfectly entitled to. If you don't, and you want this to end, you're going to have to sit him down and have a talk with him. You need to be equals in this relationship, and he clearly is not giving you the same as he is demanding of you.

Also, what Alisyn said is completely right. I'm a guy, but almost all of my best friends have been female. Needless to say, I certainly haven't slept with most of them.