Am I just an insecure guy?

Hello, I'm a very bright, mature and articulate guy, but I have a problem. I've been with my current gf for about 6 months. I really care about her. I've sent her flowers to her job more than once, I surprise her all the time with gifts. We talk, laugh , have unbelievable , and get along most of the time. Her family love me and I love them too. Me and her sisters are great friends too. Ok..getting to the point. She has a past. She's been with more guys than I have women. She is all about myspace, contacting people all the time. Nothing wrong with that, but her ex-boyfriend is one of her " friends" on there. So he can see every detail of her life that she puts on there, including our outings. Isn't that weird? I don't like her ex being able to know so much about "our" life. And I also made her drop an ex-lover as a friend because my intuition was bad about him. I'm typically a very open, trusting person, hell...I talk to my ex once every few months. Should I worry about it?