I think things are moving in a good direction for you and H--the making love, the discussions about how to improve your M, and your understanding of his feelings are such important steps.
That said, I believe he's still fooling himself. The phone calls indicate that he's not ready to cut off contact with the OW. He's also not ready to admit how much he has hurt you, or that he was going to her country for more reasons than being sent by his boss.
In his way, he's still cake-eating, and still needs to go through the process of ending their relationship, then grieving that, acknowledging how he's hurt you, then forgiving himself for that, and clearly examining what his R with the OW was about, then making the necessary changes in himself to prevent another EA. My own H did eventually do all these things, but the process seemed even slower than it was!
The important thing is that you're both progressing, your communication has improved dramatically, you have shown your willingness to understand each other, you are redefining what your love will look like in the future--I see so many positives. Keep up the good work!
