My girl friend broke up with me?

I have a new update, just to give a little history. We dated for six months and shes been career oriented and was offered a promotion to a near by city (an hour away). Anyway with out talking to me about it or asking me what I thought she took it. Before she took this promotion anytime I would ask her about weather or not she would take it she kept saying "I don't know". Anyway, I got mad a week before she left (I had a bad week and took it out on her, I realized my mistake). During the course of the conversation I told her she's afraid to be alone (she's always had a boyfriend and is never single for long), after we hung up she called my brother and he called me shortly afterwords to chew my *** out. I called later to apologize and she decided I was right, she needed to try and be alone for a while to prove she can do it and also I needed to work on being more ertive. The following week she comes to town for a autism walk marathon her job was hosting and we made plans to get together. My thinking was I wanted to see her one last time and say I realized my mistakes and tell her she was my great love and that would be it. Instead she mentioned to me that in our last conversation she still wanted to keep in contact with me and its her wanting to work things out. I invited her and her friend to go painting at a studio along with my brother, she accepted and paid for herself. After dinner we hung out and I accompanied her to do some shopping for her walk the following day. As we hung out in the parking lot we began to kiss pionately and with tongue (she never kissed like that before), she also began to grope me and play with my manhood. I offered her to get some drinks but she tod me she had to go to her friends place cos she was planning to sleep over. It was approx 7:40 on a Friday. And since her friends have kids she needs to get there before they go to sleep. About an hour later I get a knock on the door its her and she tells me her friends were already sleep and asks to sleep over. I only have a single bed and since we're not dating I let her sleep on my bed and I slept on the sofa bed. Before going to sleep she kept making pes at me, but I didn't make a move since my brother who is my roommate was home and we live in a single room apartment. ( I sleep in the bedroom he sleeps in the living room). The following day we meet up at the Gallery and paint she comes by to see my painting and everything cool. I thought after the painting she was going to go home, she invited me to sleep over but since I was working early Sunday I declined, she then mentions that shes too tired and asked if she could sleep over. I agreed and we had the same accommodations as the night before. She calls and texts me all the time, but when I ask her if we're together she tells me "no". I'm confused, really, I realize she loves me and her keeping in contact with me shows she still has feelings for me. I know she was hurt in the past because she always gave all the love and affection and her ex boyfriends in the past never did, I think she may be afraid to let her self go because she's afraid to be invulnerable again. I am looking for a job in her city, it was my plan all the time and when I got a job offer one her her first questions was "is it in my city"?. Please help me I love her so much and I want to work things out ( I have been improving slowly and she notices this). What does it mean when a woman says she wants space but calls me up and hangs out with me like we're still dating?. Any advice would be greatly appreciated.