It is so easy to measure total earth leakage
getting the jaws around line and neutral into consumer unit is easy, showing my leakage of 8 mA, however to measure each circuit not as simple, as one needs to remove the cover from consumer unit to access line and neutral only.
So easier to test insulation resistance, this meter
can use 250, 500, or 1000 volts, however DC so can miss problems with capacitance or inductive linking, but on 250 volt range, easy test neutral to earth on appliances to find faults, neutral to earth as the line may have a switch or relay which means with no power only testing to relay or switch.
Both meters cost me £35 each, so as a homeowner, start point, is unplugging any class I equipment. Class I means it needs an earth, class II does not have an earth, so any item like a phone charger with plastic earth pins is unlikely to cause a problem.
Five times 32 amps and one 16 amps clearly well exceeds 80 amps of the RCD. So I would look at the DNO fuse, it needs to be 80 amps or less, mine is 60 amps so would be OK. The cooker is a problem, turn it off at the isolator, and one loses the clock, same with microwave, so the idea of unplugging is not without problems.
Today, your set-up would not really be an option, one would want items like the garage to be on its own RCD, and having all three socket circuits on the same RCD does seem a little daft. But until 2001 we hardly used RCD's but by 2008 near everything had to be RCD protected, but regulations are not retrospective, and in the early days we could not get the single width compact RCBO's we have today, and we did not realise the problems having so many circuits on one RCD.
A new consumer unit with all RCBO will likely cure your problem, but seems like using a sledgehammer to crack a nut. And I have to admit, never did change it with old house, was on my to-do list, but sold house before it was done, however with this house made sure all RCBO's as did not want same problem as last house.
We have electricians on this forum who claim their RCD's never trip, how much is due to improved RCD's, and how much due to area where there are no spikes, can't tell. My old house the RCD's fitted second hand in around 1992, when my son became a radio ham at round 14-year-old, and I wanted to protect him. Still alive today, so it worked.