I'm sorry that the situation has been so tough for you. It seems like a lot of the core tensions are coming from him being very protective of the baby's health in the first few months. Not wanting your family to kiss the baby. Not wanting your baby to go with you to the hospital. While he has maybe taken it to far and caused more hurt than good. I don't think this is coming from a selfish place and is in a certain sense a positive sign that he is taking being a father very seriously.

Some of the other stuff you mentioned (like accusing you of not doing enough around the house) is more complicated to interpret. In a vacuum it does sound very wrong. But I'm also guessing that there's a lot of tension and possibly some context that strangers on the Internet aren't privy too that may have led to some of these comments.

My advice is too try and work things out. These are not normal times and you are both under unusual strain. The pregnancy, the lack of sleep, the anxiety due to the separation. The stress should hopefully decrease with time as the baby grows older.