Need advice

My baby girl is 12 weeks old and it’s been very difficult from the beginning. She has colic and really bad reflux. I am literally getting 1-2 hours of sleep while my boyfriend sleeps the whole night through and works 5am-3pm and once he gets home he showers and either plays video games or is on his phone the rest of the night. He will not hold the baby or help me at all. If I ask him to change her diaper he says “I worked all day you can’t change her diaper?” He acts like me watching her is not equivalent to him working. And now he’s picking fights since I don’t want to have sex. If I have any free time at all I choose sleep and he sees this as a problem. I have to hear how sex is an important part of a relationship and if I don’t want to do it anymore then to let him know cuz he’ll leave. Like wtf! Honestly why or how would I want to have sex with someone who doesn’t help me at all. He always throws in my face how I shouldn’t be tired because at least I get to stay home all day. I just don’t know what to do anymore. I feel like all he cares about is video games and sex but maybe I’m just angry with him and tired. What do you think?