As said some faults are hard to find, there are some appliances which are known for problems with fault finding, the frost free freezer being one, they have a defrost heater which is often a mineral insulated cable type so can absorb water, but it only comes on a couple of times a day, so a fault caused by the freezer may only trip the RCD once or twice a day. Often only the line is switched so it can be tested on the neutral, so to test means isolating line and neutral from supply and testing mainly the neutral rather than line. However if double pole switched then only way is to swap which RCD supplies the freezer, or fridge/freezer. But most refrigeration units are very voltage sensitive so keep any extension leads as short as you can.
To my mind the nail rings alarm bells, it would seem it is likely that has some bearing on the problem. Clearly this needs the electrician, but swapping circuits from one MCB to the other can help isolate what circuits you are looking at. Swapping the socket circuit would be the first I would look at, if at least you know it the fault is on that circuit then you know where to look. Also the cooker is another appliance well known for leakage again due to use of mineral insulated heaters so swapping that circuit will also help isolating what is causing the problem.
We read trade papers and the like about accidents,
this report on the death of Emma Shaw shows us how easy it is for a cable to be damaged and the fault to show its self quite a distance from the actual fault, at least you have RCD protection so what happened to Emma Shaw will not happen to you. But that nail would worry me. I would want to dig a lot deeper into why he got those readings than you relate to here.
Also as said fault finding and installation are a world apart, he may be a really good installation electrician, but not that good at fault finding, both myself and my son would often collaborate on fault finding, two heads are better than one. Not that either of us were better than other just two people can often find faults better than one. Daughters house it was a socket and the neutral wire had been caught by a screw holding socket, it was intermittent, and since on neutral only tripped when there was a load. Faults like that are hard to find.
The other way is to replace the RCD with RCBO's that means when it trips you know which circuit, and it does not effect other circuits.