OP, he broke yere vows, not you.
Once broken, you are not obligated to remain.
He's very clear about what he wants. Big deal. He's all about what he wants.
You need to focus on you and what you want.
He SHOULD be all about how he wants to fix what HE broke.
Great that you feel you can do it on your own.
Trust is such a delicate thing.
When someone breaks it, lies etc.
I honestly don't know how it can be regained.
Happy parents help children to be happy too.
Forget about him and focus your energy on deciding what you want.
And tell him that's what you are doing.
What he wants at this point is not your priority.