If you get it worked out where you want to do it, it may be useful to take some photos of the walls and ceilings before you prime. It is impossable to hide bad finishing with paint, if you have a screwed up finishing job, it will show up in your walls, no matter how good you paint it. If they get it acceptable (sounds like it needs another coat to me) a high build primer back rolled with at least 3/4" knapp will help. I wouldn't try to get by with just spraying primer and not back rolling it, not on walls that are allready less than good and allready under the magnifying glass. Good Luck and let us know how it comes out. I hate it when finishers do that kind of stuff gives us all a hard time and a bad name.