Also, the more I think about it, the more I feel uncomfortable about you letting the snake back into the house. You're thinking he'll be a help to you, but will he really? You're thinking he'll bond with the new baby, but will he? You're thinking in his depression it's safer for him to see your son where you can monitor him - THAT I understand. But I would be very very wary.

He's gonna do his best to wriggle back in - "See, I gave up OW/the love of my life to be with you and the kids - aren't you GRATEFUL??? I'm so sad and depressed, it wasn't my fault I slipped and my d!*k fell into her vajajay, won't you heal me (and provide free housing and support me when I lose my job?)".