Please, someone reassure me that i did the right thing...?

I am 20 years old, and I was in a relationship that started off great. I fell in love with him, and he loved me back. It was amazing. I saw myself always being happy with him, and having a future with him. Over a year later of us being together, I found out that he created an email 6 months before to sneak around to do something behind my back. (long story how i found that, but it wasnt cheating...he was going to make a certain website to make money...) I flipped out when i found this, and was going to break up with him that day cause i didnt trust him anymore, but he told me he would get my trust back, and to give him a chance to get it back, so i did. I got into a huge fight with him about this situation when i was hanging out with him a few days later, so to try to calm me down, he put his hands on me and shook me. The next day i saw him i told him not to do that. Maybe like a month later, we were at a party and we tried sleeping there cause it was late and we were drinking. We were awoken by people being wicked loud so he wanted us to go back to his house. I would of gotten in trouble if his parents caught me at his house so i put up a fight to stay. He ended up getting really mad at me and threw a shoe at me. Then a few weeks later, we got into a fight in his truck and he wanted me to leave, but i didnt want to cause i wanted to resolve things before i went home so he reached over to my side of the car and opened the door for me and was pushing me full force to get out. I went home that day and thought about what happened and broke up with him. Its been a month and i really miss him because i truly loved him. He realized everything he did to me was wrong and he is going to therapy so he can help himself. He decided to do that on his own. This boy has never cried, even when his grandfather died, he was just really sad, but when he saw me after we broke up, he cried right infront of me cause he misses me that much and knows he screwed up and wants to try again, but i wont give him the chance to cause he hasnt had enough time to change. I dunno. I really just miss him. and i dont no what to do. what if he does change and he finds someone else and i still love him but he doesnt love me? Im just very confused. Did i even do the right thing?