No Sex & Non-Social

I know this is going to sound strange and usually the other way around, but I'm having a problem with my husband never initiating sex. I'm also having a problem with my husband never wanting to go to social gatherings (for example weddings, my work functions, or general outings with friends). Here's some back story... My husband and I have been married for a year now, and have been together for 6 years. Sex has been less than minimal throughout the whole time. The first time we had sex was when after we had been dating for 6 months. I didn't have problem with that because he wanted time for us to get to know each other and fall in love before sex. After that it was non-existent one of the main reasons was he had a roommate who was always home and he didn't want him to hear us. We moved in together after dating for 3 years. I thought he would be more into having sex now that it was just the two of us, but still nothing. The big problem I'm having is that the seldom time we do have sex, I'm the one that instantiates it ALWAYS. So I got tired of being the one to start it and thought maybe if I stopped he will maybe want to. Nope not at all. I know I'm attractive, but him not wanting or showing at all that he even wants to have sex with me is really hurting my self esteem. After we were married we had this wonderful discussion on our wedding night about things we wanted to work on in our relationship and HE said he wanted to have sex more! but the 4 times that we have had sex in the last year I have been the one to start it. I just get tired of me being the one having to start it. He never touches me in that wanting way. When I showed him a dress that I planned to wear to a friends wedding the first words out of his mouth was "you look fine". Then I w ear the dress to the wedding and my male coworkers keep telling me how hot I look. All I kept thinking was "wow I wish I could hear that from my husband." He makes me feel so undesirable. The social problem I have with my husband is that he get very self conscious being around people he doesn't know. Or going to parties. He is more than happy to be at home. The times that I do make him go for example my works Christmas party, their was a bunch of people their and he doesn't fully understand the ins and outs of my job so he has trouble being around the subject manner that my coworkers talk about. The strange thing is when he does talk to and gets to know someone they love him!! But I know the whole entire time he is feeling uncomfortable which makes me not enjoy myself. So I usually go by myself to social stuff. Part of me likes it cause I don't have to worry about him and I can enjoy myself. But the other part feels lonely when people ask me where he is and I have to make up some excuse as to why he is not with me. I see my other friends boyfriends and husbands come to parties and enjoy themselves. Why can't mine? I know this is a lot but I don't know what to do with these two big issues. Other than these two things my husband is awesome and I love him but I don't know if what to do. Please help me!

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