Hospital room guests...

So is it bad or unfair of me to leave the other side of the family out of the hospital room when I give birth? I don’t plan to let them know the baby is here until we are home. And than from there they can well he can establish paternity on his own.. my reasons behind this is because throughout the relationship he has cheated on me... with a guy too mainly this guy whom I live above He has been getting loaded and having a hard time with putting the alcohol down.. accuses me of being the reason he gets loaded or drinks. Says he can’t go to meetings because of me. Because he’s afraid I’ll show up. Like I’ve gone to meetings with him in the past to show support but lately it’s this that I hear. I told him I no longer want him in the room as I’m due to give birth any day now. And than he says the baby must not be his. He broke up with me a few days ago stating I’m too much for him after we got in a fight cause I threw the cat on the bed and the cat jumped on him which I apologized for. I’m just stressed out and than his mom also tells me I’m the cause of him getting loaded as well. I don’t do drugs and never have. We fight and maybe twice did he get loaded after but other than that he just did it out of no where even while I was sleeping. So is it wrong if I left him out of this? And am I the reason for his relapse ?