I can associate with some of this.....
When my child was born, my ex did little. I accepted that she might feel more tired and a tried to compensate where I could.
I can't remember time scales, but if I am correct in remembering, the child was breast fed for about 18 months, so I would imagine that I was more helpful for about 18 months.
Sex after birth was almost nothing. I accepted that.
What I did find odd (and it was a problem before the pregnancy) was that my ex was insecure. If I went out, she had to come along. After the birth, I was expected to keep the same arrangement. I rarely go out as it was. I do remember that on an occasion, we were invited out for a birthday meal. Children were not permitted. Ex (was a wife then) wanted me to phone the birthday friend and cancel all 3 of us. I tried to reason that if I attended, it would look better....etc. Ex was addament that I should not go if she didn't go. I think that incident was a turning point in out relationship.
When the child was between 2 and 3 (and he didn't have a terrible 2 stage), the ex was making a job out of every single task. The poor child kept on getting the blame. Ex went on a 2 week trip and I looked after the child (and worked full time). I managed with everything except the ironing. I could have done the ironing, but at 7 in the evening, I wanted to check emails and talk to the ex who was away.
Coming back to the topic.....
The things that did get to me was the general untidiness and disorganisation in the house. I didn't mind the bed not being made, I could sort that, but no washing done, wet cloths left in the washer, dishes half way washed and then the job left half done from the morning. Baby toys in every room - all over the room. A few times a month would be understandable but all the time used to get to me.
It got to the point where I got the impression that the ex had to sit and watch the washing machine wash the cloths.
When I tried to find out what it was that she was doing all day, so I could try to work out a plan for trying to help, ex could explain 2 hours in 12, which didn't impress me at all.
When the child was old enough to go to mother and baby groups, I actively encouraged this. Every morning I went to work, thinking that on the activity days, the mother and child were out playing with other children and mothers talking to each other.
A few months on, some of the group arrangers started calling to find out if my ex was still wanting to attend. I presumed yes and after about the 5th call, I started asking questions.
It turns out that my ex wasn't going to any of the todler groups, she wasn't doing much of the house work (which was getting to me). I was slaving away for 10 to 12 hours a day to keep ex from working and ex couldn't explain how she was using the time, other than blaming the baby.
My advice is to identify a few things which you think the husband/father can do to help you. If some of the things involve the father taking the child out for a walk or stroll in the park (just to give you an hour or 2 free) that helps. If you section the work and limit the father to doing the same jobs in the house, to make the task predictable (so he can see an end in sight) - that helps.