Should I break up with my boyfriend? ?

Obviously there is too much details to be described thoroughly but I will try my best.

First of all I’m going out with a guy I’ll call Alex. It’s been going and off for 4 years. When I first met him he was an extremely shy video game nerd and I really help bust him out of his shell. We were both naive and this relationship has been our one and only sexual relationship. This is important because he’s never given me an orgasm and I suppose it’s left me a little unsatisfied. Also, I feel like I love sex a lot more than him and it leaves me feeling dirty a lot. I always initiate sex with him and it gets annoying.

I know that I’m the love of his life but sometimes it doesn’t feel like it. For instance, his family and I don’t really know each other. They’ve never tried to meet me or anything. On the day of his graduation a couple years back, he walked by me with his aunts and uncles and didn’t introduce me or anything. That really broke my heart, but I let him know what he did hurt my feelings and tried to make sure he understood not to do anything like that anymore.

However, this Xmas I asked him to spend the holiday with us. He said he would. However, after his father asked him to come to his family’s he immediately said yes. I told him that really hurt my feelings because he’s always picking his family over me (IMPORTANT: when he goes on his family vacations, he never hangs out with them and he is always on the computer trying to talk to me, complaining how unfunny it is and how much he hates being there. That’s the only reason I asked him to stay because I know he hates it there. He also told me for a month he was staying for christmas) So he told his father he was staying the holiday with me. Well one day I was looking over his shoulder and I saw an email that his brother sent that said "Jonas six" This REALLY hurt my feelings and I walked away sad and went to the bathroom (to get myself together and because I needed to go lol) When I came out HE came up to ME and said "I sent an email telling him that that was wrong and that’s why I don’t go to their holidays." I was SO proud of him I asked to see the email. But he wouldn’t let me, so I asked again. I finally realized that there was no email and I asked him and he avoided me. Finally the truth came out HE DIDN’T sent an email! This is what most recently upset me. I couldn’t believe that he outright lied to my face about something so important to me. Then I was sitting on the couch and he told me, a lil angry, "come here." I didn’t of course and he got angry. So when he’s angry all he does is sulk and he wouldn’t look me in the eye or anything. So finally we got alone and I asked what’s wrong and he threw this dry erase pencil and said that I expected too much out of him and he couldn’t be the person I wanted him to be.

My question is, should I break up with him? I love him but I wonder if the only reason I want to break up with him is because I know I can always take him back if need be. I do love him though but sometimes I get so sad when I’m with him, because I feel like he doesn’t care about me.
Eric you did help a lot but when I asked him why did you lie he said "I knew it was important to you. I knew it was who you wanted me to be but I couldn’t be that person."

It’s not that I’m upset with the lie much anymore but I’m upset that I might expect too much out of him and he’ll never be the person I "want him to be" (as he put it)
It’s not "Jonas six" it’s "Jonas sux" (really childish on the brother’s behalf I know but it hurt cause his family doesn’t seem to accept me even though my family has thoroughly accepted him.)

LISTEN… 4 years down the drain for that?? commmonn.. little fights and bumps in the road are what get you from one happy snap shot to the next.. you gotta understand that it wasnt that serious to him, even tho it was to you.. he isnt you, he doesnt know how you feel about those things.. same with you.. maybe youll do something hell be so enraged about that he wants to dump you and you didnt think it was a big deal.. He spent 4 years with you… GUYS DONT WASTE TIME. if he didnt care he would be gone.. be a stand up girl and be understand that he is a person that makes mistakess.. hope i helped love …