It's a sad situation, compounded by the fact that he's approaching it with unkindness and a complete lack of consideration for you.
Pressuring you to get pregnant is wrong whatever the circumstances, but when your decision to stop having children has come off the back of a traumatic birth experiencing delivering your shared child then it's doubly awful of him.
In a healthy, solid marriage the issue would be tackled together. You haven't "future faked" or pulled the rug from under him. You've suffered trauma and it's changed things. I can say with certainty that in my marriage, my husband would have been sad not to have more children - as would I - and I'm sure we would have talked about it at length, but ultimately if I felt unable or unwilling to have more children, that would have been accepted as our new shared position. Decisions would have been made from that starting point going forward, such as getting a vasectomy Vs female sterilisation and which is riskier, especially when one of us is already injured/traumatised.
Your husband isn't seeing it as an issue to be faced together as a married couple. He's concerned with getting what he wants, whether that's by coercing you or keeping his options open to have more children with other people in the future. I think that really, the issue you're currently facing RE babies, sterilisation , vasectomy etc is a symptom of a marriage that isn't really solid, rather than the cause.