How do I show him I still care?

I still love my ex boyfriend, it's been 6 months since we broke up and I haven't even kissed anyone else since. We broke up cos I cheated on him but the same night he strangled me and accused me of cheating (when I wasnt)and I felt like he was acting out of order and didnt love him anymore at this moment, in hindsight, I shouldve dumped him there and then because now Ive done more wrong for something poitnless and meaningless and im powerless...I felt angry and like I had had enough that night of someone always thinking the worst of me....I still care so much about him but he cant forgive me..i cry myself to sleep and wake up crying..Ive tried going on a few dates but i always burst into tears after..the thing is i did cheat but im not once a cheater, always a cheater...i believe im a good person who made a mistake....when i think of what i did it makes me sick to the stomach.i swear i just want to put the past behind us an have a loving respectful relationship..we both lost respect somewhere along the way and i would never let it get to that dangerous point again... i want something for the long haul,,,,is it really themost loving thing to let him go or let him know how i feel??