New baby but tired of SO

I have a preemie who was born at 34 weeks...she needed surgery and stayed in the nicu for a month. She recently went back to the hospital for another week long stay. While in the nicu he visited her maybe 9 or 10 times only staying an hour or two. He never wanted to participate in her cares only went to take pictures and send to everyone. In her recent stay I was able to stay in the hospital the entire time and once again he only came once or twice only staying an hour or so. He claimed he cleaned the house but didn't, he also got my car towed by parking it in an area it didn't need to be. He couldn't afford to get it out, I had to leave my baby to fix his mess up. We are home and she needed 4 medicines and dome extra care...he can't even be patient with feeding her...he hands her to me. I now tend to a sick Baby, clean, take care of the car, feed us, and some how try to manage. I feel like I'm doing this alone and therefore have been considering doing so for one less person to be responsible for.