Now you know the kind of man you are married to.
A man who will cheat on you, despite the promise of fidelity being so central to your relationship with each other.
A man who, on being caught out cheating, will tell more lies (using your love for your children to manipulate you into believing him by swearing on their lives), will continue to treat you like a fool, will save his own skin at your expense.
He is a weak man. A dishonest man. An unkind man. A coward. A man who places himself far above you and what is best for you.
Who cares if he is remorseful NOW?
He wasn't remotely remorseful when it actually mattered, when he could have stopped having the affair, or when he could have helped you recover from the affair by being honest.
Remorse at this points is meaningless and says nothing good about him at all.
Maybe he can become a different kind of man one day. But this is the kind of man he is now.
Do you really want to hang around seeing if he can become a person of integrity and worth?
Given his propensity for selfishness, lies and manipulation, it's hard to see how that transformation could come about.