Personally I would want the whole thing to shut down not just individual circuits. ( not a code requirement )
The last spa I worked on had a landing area for the incomming feeders and we protected the whole thing at the panel with a gfci. Every time I have seen multipule gfci's used it was either problematic or coordination was impossible. (not speaking about adjustable breakers, just residential )
I ran a #6 bond wire even though not required. Call me paranoid.
no trip bar connecting them, but when you hit
Why would you want to do this? GFCI's measure imbalances in a circuit. Why would you want to combine circuits? See above
What is the age of the home? Did your panel have an ground installed already? (probably if cica ~1968 and newer) Were there 2 bare copper wires in the panel? For an supplemental ground to be effective it needs to be installed out of the sphere of grounding. example, ground rod 8 feet long so the second ground rod would be installed a mininum of 8 feet way. If installed closer then the new ground rod is not as effective as it could be. I assume you used the same size wire as the water bond for you service.
My suggestion is to protect the panel with a GFCI and use regular breakers for the other loads. AND seek local professional help. Hypothetically you have a situation brewing here.