I know you don't want a confrontation, but it sounds as though it is time to have one.
As Culture suggests, is there anyone who can have your DS, even just to walk him around the block for half an hour, so you two can have a serious conversation?
He needs to buck up, seriously buck up his ideas. You both have a child, and you are both parents. Yes, you are off on maternity leave. This generally means that while he is at work, you are doing the parenting (not the housework!). But while you are both at home, you are both parents.
The first thing you have to focus on is how you are feeling about this.
I feel guilty asking. I feel like he thinks DS is my job and he's having to help me do my job as I'm not good at it yet.
This is not true. You are good at it, you just have an unsettled baby. But he is not your job. He is both of your job. He is both of your son. Both your lives have to change.
Your DH needs to understand that his life cannot continue the same. He can't work 11-7 because that means he gets a lie in after being up late (seriously, that's bloody ridiculous). If he can work hours that suit you better, he needs to work them. He needs to do equal amounts of housework and childcare at the weekend. Because you both need time to recharge on the weekend if you can. Him taking the baby doesn't mean you doing housework if he's not doing housework when you have the baby.
You have a newborn who is unsettled. This means that playing computer games, blowing through box sets and watching films all night has to stop for a while.
You need to stop and think about how long you are prepared for him to carry on behaving like this. He needs to understand and then step up. if DS is crying, he needs to sort it, not come to you as the magic parent.
Only you know what will work on your DH to get him to change. But if he doesn't change now, this is going to continue like this - you as a parent, him as someone who has a wife and son living in his house. What happens if you want to go back to work?
Tell him. Try and do it calmly and as non-accusatory as you can, as that will probably work better.
But what will you do if he doesn't change?
This probably sounds like a dramatic leap - but if he's not bringing some improvement into your life, what's the point of living with him?