Next girlfriend or not?

Over a month ago I met a girl in hostpial while I was having a rerhabilitation. Everything is begining nicely, today we had our 5th date. It was great, we were holding our hands and hugging a lot. It was awesome. Sadly when I wanted to write on facebook that I felt great and link her, she said she wont like this post, because she had sad situation in past that her friends fooled her and insulted her on fb. She said to me she hates that and she wants me to remove a post that I wrote. I wonder why would I do it, I told her I am sorry for her sorrows but I am thinking that I shouldnt be removing my fb statement, I had nothing to do with things she'd been to in the past. She doesn't look on it as she's making me sad, she just says she wont like and comment it and I should remove it I had been to many sorrows myself, but If anyone linked me on facebook I'd be happy.

Sometimes she acts very selfish and I hate that. Today we were sitting in a train and some old man told her that she is lying to me. I've replied him to live healthly (rude of me I know) but he actually seemed rude himself and drunk a bit. I thought he just wanted to be rude, but later on I started to think maybe that old man was right and she's just fooling me...She had a boyfriend before, and they had just broke up. He was 16 years older than her. She is now 19 yeras old. She still keeps a pictures with him on facebook, and she said she will remove it when she finds a time. We're just meeting for 2 weeks, and its all young relation, but I now don't know what to think myself. A friend of mine suggested me to say bye bye to her, but I am not going to do this because we had little argument just now. I am curious about your point of view. If you somehow are still there reading then write what do you think. Perhaps It's hepful, I don't have much exprecience with relationships. So far I was in 2 relationships, which failed too fast, so any hint would be nice.