Like Labug, I see positives in your H communicating with your dad. The greatest positive is that it is to your dad--someone who is 'on your side'. I think that is huge.
Years ago, my H complained to my mother about how controlling I was, etc.. In retrospect, I think it was a great sign that he confided in my mother. My mother wanted the M to work out between us and did her best to facilitate it knowing what she knew from H's side of things.
There have been times when H has said he needs to talk to her again. I think he felt really validated by her because she said that what H was saying about me (always needing to be right and not seeing his perspective) reminded her of the issues she had with my father. He felt that someone understood him. At the same time, I didn't feel betrayed by my mother because I knew she had my best interests at heart.
I'm so impressed that your H reached up for a hug! It might feel like slow progress from where you are, but from here it's pretty remarkable.
Hang in there. You're doing really well.
Me: 51 H: 52 T: 23 yrs M: 19 yrs S18, D16, S14 (special needs) PA: 2003/2004 Piecing: 2004 on Suspect H had EA: 8/2012-12/2012