** Well done OP for confronting him. That takes guts and it appears the work you put into your counselling is paying off. Usually it's pretty hard work to, so sincerely, well done!
I am in counselling at the moment and so am working through a lot of things, it's actually that that has given me the courage to speak up and say what I am not happy with as I know relationships take work and therefore I need to be honest and see how he deals with that.
Don't forget that relationships take work from both parties. As he's the one who cheated, it's him who should be - and should have been - putting in the lion's share.
I've also suggested marriage counselling which he wasn't keen on previously but let's see if he changes.
If you're going to do marriage counselling with him - which it seems you will if he agrees - please first read The Gaslight Effect by Dr Robin Stern. At least you'll have a chance if spotting patterns that are damaging to you.
It's taken a while for me to be honest with myself that drastic changes need to be made, but I'm not perfect either which is why I am personally seeking help with my issues as I am prepared to put effort in.
You're not perfect, but you're not imperfect either. You're just normal. Be careful about taking on the responsibility of "improving" or "fixing" yourself in some way in order to improve the relationship, unless he's genuinely doing the same. Do it because you want to improve or fix something about yourself for yourself.
And from earlier:
I think he is not good at communicating or sharing his feelings so I get why he wanted a copy as its easier for him to think instead of a spontaneous response.
You're making excuses for him. He effectively asked you to put your complaint in writing. If he's not good at communicating and he values you and the marriage then how about instead of adding emotional labour (because I'm betting you didn't just jot some notes down and push send, you wrote so he'd understand you) to you, he sees a counsellor who could help him with expressing himself. If he cannot get words out of his mouth and cannot listen to an adult woman express herself, then he's the one with a problem. As an adult, he's perfectly capable of seeking out help, just like you did.
Take care of yourself because this man can quite easily run you into the ground while you're trying to save a marriage he finds convenient. And until he indicates otherwise, I'm not sure you can say you know for sure that he values you and the union, given how unwilling he is to share the burdens that come with marriage.