Painting half a wall

Hey guys, ran into another issue! I need to match up the drywall in my hallway and of course, with the thick plaster thats on it, it measures to 3/4" Of course no where locally sells 3/4" drywall so is there any special way to run 1/4" + 1/2" drywall together? Do I need to glue them or should the screws be fine. Its only about 5 or 6 feet worth of hall way btw.

I hope it is alright to begin another thread as I have some significant developments in my situation. To recap, my GC brought in a set of remodelers who did a very poor job on the sheetrock of our addition. The GC has been pretty absent from the project. The remodelers finished the sheetrock and left. They told me to buy Benjamin Moore paint and primer as it would "hide everything." As the pictures show, that is far from true. I went ahead and paid someone to texture the ceiling with orange peel finish to hide as much as possible. I was thinking that I would be able to get the ceiling to an acceptable standard. But I was wrong. My GC called the remodelers back in to do some spot repairs. He told them to swing by and do some touch ups. The pictures represent the condition after the "touchups". I showed my GC all of these issues and he agreed to call in a professional sheetrock company to quote the repairs. When their estimate of $4000 came back he flipped, saying he plans to have one of his hourly workers do the repairs. The problem is, the hourly worker does not have significant sheetrock experience, let alone ceiling finishing. So, my questions are: Do I have the right to keep the hourly guy from doing the job? Do I have the right to just withhold the repair costs from the final bill and fix it after? Is this on the verge of a legal matter or can I keep this fair and civil?