💐I'm sorry sorry to hear about your Mum. It's a dreadful time to lose anyone, then to give birth shortly after...you're doing well to just get through the day x
You feel it would be easier to do this on your own (and I think you're right), & you own the house... he is being horrible, it's not just the insensitivity re sex, but the way he's talking to you, the way he sees that you 'owe him' his whole attitude, does not a great DH or Dad make.
I would pack him a bag & tell him to go.
What was he like before you had the baby?
Though I can't imagine he was was anywhere near good enough for you or that he's suddenly started treating you so badly.
Partners can feel 'pushed out' when there's a new baby and they're suddenly not the 'most important person in the world' to their partner & it can be hard for them, but most adults grow up fast & get on with supporting their partner and being a good parent
I'm SO sorry you're going through this xx