Venting about life

Is it just the mom’s job to put baby down for a nap when the dad had a few days off? Honestly I won’t lie I’ve been so up and down with my son far as sleep goes. His dad never gets up with him or does much when he has to work. So today, my body and mind just wanted to sleep. I slept until 3 pm. I did get up with my son fed him breakfast and played for a while until he wanted to go lay back down. So we did. He woke up and I asked his dad to take him so I could be a selfish person and sleep. So that’s what happened. However when I got up…he had mean words for me. Saying I’m not tired anymore because I slept all day and can’t lay down because I’m not tired. Well for one I don’t need to be tired to give my son a nap. I have the patience to lay with him until he falls asleep. My son is 1 btw. His dad has just been on fb all day long. He doesn’t do much else. Like I went for a bottle and because I’m just exhausted I didn’t make it to clean all the bottles. Idk I feel like a real partner wouldn’t make a fuss about spending time with his own son. Then he says f it we are sharing custody so I said fine, least I’ll have half the week to sleep or work whatever I want. Ha he didn’t like that much tbh. So idk but I don’t think I should get ridiculed because MY body requires sleep just like everyone else including him. Shoot he had a minor dental work done, slept for hours. I took care of my son. I just don’t think this guy is capable of spending time with his son. They out there right now together he’s addicted watching videos while my son is just watching his dad do this all the time. He’s going to feel ignored, not loved all this stuff I already feel from his dad. I feel like I have failed my son you guys, he has a dead beat for a father and idk how I can ever make up for the fact his dad is the way he is. I’m too old to be starting over but it’s not impossible. Although I won’t have another child I just don’t understand how a guy feels ok to do the bare minimum to be a father/dad. Idk.