What strikes me is that you are trying to make the marriage work, and that he isn't. Major disagreements that there just aren't compromises for (having another child, moving for a promotion, etc.) can be VERY tough on marriages, but his stance that he doesn't have a problem therefore he won't go to therapy seems like a tremendous amount of denial that the marriage is in crisis.
At a point when you are questioning if the marriage can/should survive and avoid spending time with him on weekends, he seems very entrenched in the idea that every thing is just fine.
You said, "resentment largely stemmed from his lack of understanding, lack of empathy, lack of caring rather than the fact he didn’t want another child. I wanted him to hear how I felt and to try and understand" I can easily see how a man who lives in denial that is marriage is falling apart could fail to let his wife know that he really hears her and really understands how she feels.
To me, it sounds like you checked out of the marriage because you realized that he really doesn't care about how you feel about anything. All along, all the little compromises were yours.
I agree with @Offred about your options. Would it be possible to set up an appointment with a counselor at a time that he could attend, and let him know that you are going and that he is invited. Either the appointment is to work on the problems in the marriage, or if he doesn't come, to help you make peace with the fact that your marriage doesn't work for you fundamental ways and help you determine if you will stay or go. No game playing, just lay it on the table. A bit of a "hail Mary" pass.
Relationships do have ups and downs. But it takes both people to get through the downs. The woman cannot do it on all by herself, especially when the down is because she doesn't feel heard and understood.