Orange County Floor Kitchen Bath

My husband and I both work me 3 to 4 days a week he works 5. It seems since I work less then him I have to do all the housework and his days off he relaxes. He is from England and says that the women there do all the housework. I have told him here in America we share in chores and women are not slaves. I have a 15 year old son who lives at home and he does do his share he keeps his room neat and tidy and mows the lawn and occasionally does dishes and does his own laundry. I have a roll of bathroom tile that needs to be laid that has been sitting there for 3 month. Do you guys think I am being unreasonable for needing some help? I do all the cooking, Laundry, vacuuming, dusting, organizing etc etc………. How can I get him to pitch in?

I’m currently re-tiling my small bathroom, and have pulled-up all the old tiles to find a backing board (I think). The board has a lot of grout from the old tiles stuck onto it, and there are a few divets on the board from some careless tile removal (it also has some large cracks near the wall.
Question: I would ideally like to lay new tile without removing and adding a new backing board. Is it possible to lay a self-leveler over that older backing-board? Or am I risking the self-leveler leaking through the floor onto my neighbors condo below?
Are there any other options?