Judging from your pics from last weekend, there's a lot of work that has to happen in a month.
I understand the church's position of not wanting to keep renting a space while trying to pay for a new building, but doing a "rush job" in construction is typically a bad idea. If too many corners are cut in the process, it can be a bigger nightmare going back and fixing things later than just doing things right the first time (D.I.R.T.F.T.). Without a C.O. (Certificate of Occupancy) they won't be able to have services. Functionally, I would think the church needs to be pretty well complete except maybe some offices in order to host services. HVAC needs to be working, children's space needs to be ready and secured, bathrooms need to be ready, handicap parking needs to be ready. They also still need to do their ADA inspection and make sure elevators are working, sidewalks are actually poured, bathroom partitions are in, exit signs installed, etc, etc, as well as life safety systems working plus downtown you're really going to want to make sure security cameras are functioning too.
I would think there's an element of functional testing involved too....things like making sure flushing toilets continuously in a short period of time that the plumbing can keep up, testing the sound system to make sure the amps don't trip breakers for show power, making sure the HVAC system is tested and balanced, things like that. I feel bad for this GC, that's a ton of pressure and they've been moving pretty quickly from the looks of it. The thing with most church projects is they usually run out of money but they still expect miracles when it comes to getting things done on an unusually aggressive schedule.
