Sounds like things are looking up for the most part and I am happy...but....be careful with the contact with OW. This sounds alot like my H and he would text her when drinking. Its not right. He should have no contact with her for himself and out of respect for you. I am not buying the stuff that says its a gradual thing. If he is serious, he should be taking the actions of not contacting her and if she contacts him he shouldn't respond. I lived this for months. I would catch him, he would play it off like no big deal or promise not to do it again and a few weeks later I would catch him again.
Please be careful. Have your boundaries and let him know what they are. Don't let him cake eat again.
I don't want to sound negative but it seems like your H changed his tune when he found himself homeless. IMO, contact with OW is unacceptable if he is working on R with you.
Me: 46 FWS: 36 Married and Divorced 4/07, Pregnant 7/07,False R 7/07 Baby Girl born 3/08 Kicked him out because OW: 7/08 5/10 He realized what he had and lost. Moved home! REMARRIED 3/14/11!!