19 yar old missing ex girlfriend (first love)?

Alright guys, I have a question, more like a question put into story form, but please read and hear me out.. Im a 19 year old male, and a year and six months ago me and my girlfriend of a year and 4 months broke up for good, the reason being was I was getting verbally and physically abusive, not hitting or anything, but I choked her once and pushed her around a few times, now PLEASE I know this alone is going to turn off anyone who was reading but please bear with me.. I loved this girl with every part of me, and I still do, after a year and six months. I read that a person whos parents split at a very young age is actually more prone to temper problems and anger than someones who hasnt. A year and 6 months of thinking has changed me into a completely different person - for the better. Today I heard a song titled "Love Remains The Same" by Gavin Rossdale, and I literally stopped in my tracks and literally had a tear drop from my eye, it reminded me of my situation to a "T". Now this girl now has a boyfriend for over a year I believe, and she hates me with a pion in my opinion, which I cant really blame her for. Im thinking of a good way to contact her to 'try' to change her opinion of me, because half of my depression is because of the way I treated her, it kills me inside to think back on it. Everyone says "get over it, move on" well ill tell you, iv'e dated about three different girls since the split, and nothing has compared to the way I felt when I was with her, nothing. The night I met this girl I felt something inside me that words can never explain, I had to get to know her more, literally love at first site. I would love to rekindle our love, we were the best couple together at the time. We'd talk about some of the goofiest things imaginable. I also lost my virginity to this girl, and I know for a guy its kind of dumb to admit, but it meant alot to me, I was a very shy guy before this and was afraid of having . What im trying to ask guys is, what do you think I should do? Besides letting go, Iv'e let go about.... a hundred times and it keeps coming back, wondering if its the way it was meant and that someday well be together again. So what are some ways I can get a girl that most likely hates me with a pion to talk to me again in a friendly way, nothing too serious yet. I was thinking about emailing her on Facebook, but I dont want to be some creepy guy you know? And I ask you guys please not to judge me upon the way I treated this girl, I talk to God alot and he knows I was wrong and im truly sorry and ashamed of myself, and I strongly believe he forgives me, because no one is perfect.Thank you guys for your time! I love you all and yahoo answers! lol cyas.