Sounds like you have a lot going against you. For starters, it sounds like they have too much space. I don't think you want so few bees in a 10-frame brood box. I'd put a divider in and reduce their area to 5 frames until they fill 80% of the frames. Too much space stresses them.
If you don't see any drone brood, you probably don't have a laying worker yet. But your population is so low that if you can't steal any more bees from another colony, you may as well combine with another colony (do a search on the newspaper method). You may have to just eat your new queen (not literally!).
If you don't see any drone brood, you probably don't have a laying worker yet. But your population is so low that if you can't steal any more bees from another colony, you may as well combine with another colony (do a search on the newspaper method). You may have to just eat your new queen (not literally!).