I was at "the guy I'm dating"'s today and he fell asleep, so I got on the computer (I opened a new window, let all his <removed>up) and Facebook chatted with a friend while he slept. When he woke up, I closed my window and let him on his computer. He got angry and said that I "changed" his tabs. I did not. His brother got on and clicked something on ONE of the tabs, which I mentioned to him. He says, no, you closed like 10 tabs. This was a totally false accusation, so I said, I have no idea what you're talking about, this is all I did and told him what I did. He said, well, you're a <removed> liar. I left the room and went to the bathroom to regain my composure. Then we went to a movie. I texted him before the movie ( we were with a huge group of friends and he was conversing with others) I said "What you did was not cool. I don't appreciate being accused of something I didn't do and being called a liar when I did nothing wrong." After the movie he said "Sorry" and I said "It's alright." Later that night when we got home I Facebook chatted him, and he said he's going to put a password on his computer and that he doesn't trust me. I said this hurt because I did nothing wrong. He implied that I lied once more.
As far as "proof" goes, he has none. I feel like he was mad at someone else and took it out on me. This whole password stuff, calling me a liar, its sabotaging the relationship.
Should I let it go? Forgive him even though he still thinks I'm a liar?
I really really care about him so I don't really want to break up, but part of me feels like this is only going to go downhill.
I'm so tired of this <removed>.