Even if you wanted to be together, I'd honestly recommend against it. She needs to work on herself. The whole "we need to work on our relationship"... Um. No. She needs to work not killing herself when she gets upset, or fixating on a relationship to distract from working on herself, and no way in hell has attempting just become the way to "get you back" after you break up... Or to keep you from breaking up with threats of suicide (which can sound charming, by the by... "I'm just afraid of going back to where I was the last time we broke up, I just need a little time, etc.". Full stop. Suicide is not a tool to get what you want. Its not a way to win someone back. It's a hard lesson, but an incredibly valuable one. It's not a game, don't play.