She sounds manic depressive and insecure around other people. I assume she saw you looking at a hot chick or you mentioned something that brought out deep insecurities from her past. Judging from her post I assume she is between 20-25 which is a no go age for wanting a real relationship.
Good news is chicks like this respect strength and maturity, so lay down the rules. Tell her to explain and give details where she think you fucked up or you are moving on. Trust me avoid the games. You will end up with years invested in a failing relationship. If the foundation is this week you are setting yourself up bad.
If you want to make her see how crazy this sounds give her the link to this thread, so she can see what other people think of this. Her friends will kiss her ass and support whatever she says even though they have o clue wtf she is talking about. Let her see how strangers are responding to her post.
That is no environment to have a healthy relationship.