L.C.
This is the part of parenting, especially the first time there's an actual baby, that is the least fun.
As to the pain: Go see your gynocologist. You would be surprised at what is available to help you.
As to your husband not stepping up: It's a huge transition. Crazy as it sounds, you had almost 10 more months to prepare than he did, so he is at the low end of the bell curve.
Communication is EVERYTHING right now. I don't want to make any assumptions, so I want to ask if you have actually sat down with him and said, "I need us to divide up responsibilities, so I don't feel overwhelmed. What are you willing to do?" Not arguing or complaining, but negotiating.
Last of all, quit waiting for permission to have an hour to yourself. He is the father, not the babysitter. So, give him his hour, then hand him the baby and LEAVE! Go for a walk, have a cup of coffee, go see a movie, or get your nails or hair done and actually feel like a girl again, instead of just a mom. You might be surprised at how much more you feel like having sex. Do this before you talk to him so he has a frame of referenc for how you feel and what you need.
So, in this order,
Go to the doctor
Leave him with the kids and take a minute or 3 hours (I vote hours) for you
Sit down and talk to him about what you need and what he needs
Pin him down on EXACTLY what he's willing to do
Hold him to it.
When he comes through "reward" him lavishly. If it still is uncomfortable for traditional "rewards", get creative. It's a pretty good motivator for ensuring a repeat of his support.