More partner struggles

My 10 day old is cluster feeding mainly during the night, so I've been taking the night shifts in the living room because he won't settle unless he's on me, which prevents me from sleeping in bed for his safety. My boyfriend sleeps in the bedroom overnight and takes over in the morning so that I can catch up on sleep for the next night. But for the last couple of nights my boyfriend has been going to bed later and later, making me stay up longer which leads to me sleeping later into the evening. Then in the evenings (our only chance to spend time together) he's on the playstation and watching stuff on his laptop AND phone at the same time with the volume whacked up, so I can't even relax. I can't even have a proper conversation with him when he does this because he either doesn't hear what I'm saying, or I just get "yeah" to everything I say. The sleep deprivation, breastfeeding, and my stitches are all taking a massive physical toll on me. He asks if I'm okay, I give him my honest answer and I just get "yeah". He goes for showers whenever he likes, while I haven't showered in a week and have to check he'll be okay with the baby if I have to leave the room just to pee. I just wish there was a little more understanding and compassion there with a little more compromise.