How should I forgive and forget his mistakes?

My boyfriend and I have been dating for 1 year and a half. And between the time we started dating and up till 1 year, he used to go out a lot. It didn't bother me at first, but after a while he told me he'd come back from clubbing at 5 am, drink a lot, not remember and sometimes stay with his friends in an apartment. Slowly my insecurities started to build. I hated how he had facebook and he'd talk to girls, girls I don't like or don't want him to talk to because I know they would just want to get with him. The night of his birthday, he went out clubbing and also rented out an apartment, I wasn't allowed to go but it hurt coz he invited all the girls I dissapproved of. He didn't even show my the birthday list and who he invited. He didn't show me any photos, nothing. He promised he'd call me if i texted him, and I did, i waited 4 hours and all i got was a text saying "sorry i missed your text.' So i said "dw you're busy with you're stupid party.' And somehow it got spun around where he made it look like it was my fault. Another time I went on his facebook and saw a chatlog to one of his mates saying he was so drunk that he didn't remember what happened and came back home wearing a girls jacket. I never asked him till after so many months and he just said "he just saw it lying around and wore it." He denied talking to this girl when I asked him did you talk to her on facebook. Its so unfaiir because I get punished for talking to 2 of my closest guy friends and he gets away with all this. But this year he begged for my forgivenes, saying he wouldn't do it again, and this year he's hasn't gone out clubbing. MY question is should forgive him and forget bout it all?