People here sometimes get very uptight about electrical safety and DIYers. Myself, I think people asking questions here are the sensible ones who DO think twice before doing things which they do not know enough about. The really nasty stuff is when professionals who claim to know what they are doing make a total balls up. They may be really good electricians too, but everyone has terrible days when nothing goes right and there are 6 urgent things at once. Also, time is money, and how long can you faff around trying to figure what is wrong with the meter ticking?
Ok. Do you have a garden? I ask, because any socket which might power equipment outdoors should be on a RCD according to regulations. This would allow upstairs ring to be non-RCD, but downstairs really should be. I think you said that you have the opposite.
Some electrical equipment may have small earth leaks which can trip a RCD. This is annoying but not dangerous if the leak is small. But a RCD is designed to cut off power with very small current leaks to earth BEFORE they can grow into big ones. If you do have a problem with some device causing trips, then my advice would be to sort the equipment, not disconnect the RCD. There should NEVER be a RCD trip from a standard socket circuit with nothing plugged in. (unless something is wrong with it!)
Junction box wet could cause RCD trip. Exactly the sort of thing it is designed to detect. So it did exactly what it was supposed to...but then someone disconnected it for working correctly?
Non earthed back boxes is a bit of an argument. The official line seems to be that it is ok, provided the metal box has at least one fixed screw hole. Normally nowadays one hole is a fixed lug bent out of the box. The other is a slider which allows the socket to wobble a bit to get it straight. Provided there is at least one fixed hole, the screw through the socket plate makes contact between the metal earthed rivet hole on the socket and the box. Some people feel this is not adequate and a wire is needed between the plate and box.
You have not said what rating the breakers are on these circuits. It is possible to split a 2.5mm cabled ring into two radials, but not to then run them from a 32A breaker. It would have to be reduced. Alternatively, maybe someone has created two rings, but wired the lot onto the same breaker. Are there any spares?
How the hell does the guy 'forget' to reconnect a wire floating about in the consumer unit? OK, there are lots of wires inside, but you do seem to be having a lot of mistakes.
It is possible to test a circuit to check the insulation. You would do this with resistance meter at the Consumer unit end. I would imagine someone has done this by now, but who knows. Otherwise, removing the sockets allows you to inspect the ends of the cables and would show if they have obvious heat damage. presumably this has been done a lot by now.
It sounds as though enough faults have been found to explain things. I hope the cause of the wet junction has been found and fixed.
I can not give you a definitive answer on the cable. If they look ok, feel ok and test ok, then they would be considered ok. They will be degraded by heat, but they are also designed to withstand occasional accidents. Your case does seem to have given them a bit of punishment.