A Damaged Mind?

Before I say anymore, I am 19, and very unknowledgable and naive about the world in general. I also have Asperger syndrome. For those who don't know about it, don't worry too much, but I thought I'd throw it in there.

I had a relationship with a girl (she'll be called Girl 1) for over a year a while ago, and she's rather emotionally unstable. I didn't realise it at the time, because I was in a low place when we got together, but she was so clingy and overreacted massively to any kind of rejection.

After a while, I grew up a bit, and decided she wasn't good for me, which of course, she didn't like.
Shortly afterwards, I met someone else (we'll call her Girl 2) through a friend from college who lived quite far away. We got talking lots, and we decided to meet. In all honesty, it was sheer magic, and I don't know if any of you have felt this, but it's like the world just fades away and you don't even realise that you're getting closer and closer with this person until you're physically seperate and you start thinking about it... it was like that: we got together really fast and became closer and closer the more we got to know each other.

After a while, I moved in with her... mostly because I felt we had someone incredible, but partially because Girl 1 was still driving me mad and it was a perfect oppotunity to get away.

Girl 1 caused a few rifts between me and Girl 2 which tbh, were things a new girlfriend shouldn't tolerate, and I'm impressed she did, but it was because she thought we had something special too, and I felt terrible for dragging my irratic past into her life.

8 months later, Girl 2 and I broke up, due to me making numerous mistakes and letting myself fall victim to things I shouldn't of... I didn't cheat on her, but ultimately, I broke her trust, and she said she couldn't be with me if she can't trust me.

If you just read that, thank you, it's nice to know someone cares, but I do have one simple question:

Can an unhappy or even abusive relationship damage your relationship skills and maybe even cause you to actually **** up a relationship with someone else if there isn't enough time to get over Girl 1? =/