I can't really add much to the advice here. I'm just erring on the side of your husband, not discounting anything you've said. No one has thought about the fact you have no affection or intimacy from him. I'd like to mean if you say nothing, do you really mean nothing? Does he hug you, or try at least in some physical way to show you his support? If you are young, intimacy in marriage is so important, well at any age it's kind of a glue that keeps people together. The same with having childeren.

How does he behave around your children? Does he encourage and support them in any way, or do you feel you are doing all of the work?

Medications do have the side effect, I experience that myself, of making sex almost impossible. Maybe if you tell him to explore options or suggest it, doctors can give anti depressants that don't have sexual side effects. If it's his whole attitude toward you and you don't feel supported and the children don't either, plus he's not willing to go to counselling (men don't really think it helps sometimes).... and you look at the big picture and future of you two.... if you are both completely unhappy, it might be time to talk about separation. Even a short separation can sometimes bring some peace so you can both sit back at look at it from a new perspective. Best wishes to you both.