Hey J.,
I am sure that there is some justification to his feelings, but he is copping out on you.
Hand him the baby, have instructions on the table for him, pick up your keys & walk out the door. Go take a 4 hour nap at a friends house.
That is a last resort tactic... but it works.
Sit him down, look him in the face and start the conversation with, I need you to listen to what I am going to say. It is very important to me that you hear me.
Then tell him, I am very very tired & really need your help with the baby. I need for you to be responsible for him for (pick a time frame) on these days (one day/every day/whatever)
Then ask him what his fears are. Listen to him & dont judge.
Then offer things he can do with the baby. He can start out easy like putting the baby in the stroller. Or feed him dinner.
It is imperative that you get yourself together. It is your husbands responsibility to help raise your child.
Hang in there sweetie, dont be afraid to tell him what you really need. He is your partner, after all.
P