Well, I don't have any experience with getting sober together. My man does not have a drinking problem. But I do have experience working with a live together boyfriend. Is it his own business? Even worse. The problem is that you need to have time apart. Living together and working together leaves you very little time for yourself. I would say first thing to do is find a separate job.
Best to you and your boyfriend, I hope you find peace in your relationship soon.