hate sex

I just had a baby and I'm always exhausted since I do everything for him. He usually goes to bed at 9 but I have to hold him till 1130 or he'll wake up. By this time I'm super exhausted and also ready to sleep since he wakes up every two hours to eat. After I put him to sleep I go outside the room to get ready for bed and my husband is always wanting to have sex. I'm usually not in the mood bc it's midnight and I'm on my way to bed! Today I refused to have sex and he said, "you realize we havent had sex in almost a week? This is what 60year olds do". His comment was unnecessary. I understand he has his needs but he also does nothing for the baby, literally. I told him before if u wana have more sex then u gota help more so that am not dead tired by end of day, of course he did nothing. I hate how every time he sees me he wants to have sex!!slmetimes I just stay in my sons room and fall asleep with him to avoid all this. I hate the pressure.