In my old house would every so often have the RCD trip for no found reason, and when I tried to reset it, it would trip the other RCD feeding the other fuse box, and I would need to remove the load switching the MCB's off before I could reset the RCD. I have no idea why a sudden load should trip the RCD, however I know from experience it can.
I can guess on spikes etc, but that is a guess, just know a sudden load can trip a RCD.
With that in mind I would disregard the RCD tripping, and concentrate on the MCB tripping, from what you say can't be freezer as that now on another circuit, it has also tripped with washing machine unplugged, so looking for some other device switched on with a timer of some sort or a thermostat of some sort, anything else would trip it all the time, with between 32 amp and 96 amp the thermal part of the trip will operate, so load would be there for some time, between 96 amp and 160 amp either the thermal or magnetic part could operate and over 160 amp the magnetic part will operate.
All are way over the normal load on a ring final, and in the main a fuse in the plug will rupture before the thermal part of the MCB, so it seems unlikely some thing plugged in, as others have said seems likely best option is get an electrician with test gear, but if you really want to DIY job one is list all that MCB supplies.
I do not mean kettle, but what sockets, FCU, etc. So start off with say 6 kitchen sockets, and 2 kitchen FCU's need to at least know how many, including and socket in cupboards supplying waste disposal unit, oven etc.
Once you have the list with power off remove each socket one by one and inspect. I had one in the flat under my main house where water from a leaking roof had got into the socket, and the socket back was warped where clearly some thing had gone very wrong inside the socket. One can't always see the damage, but some times one is lucky.
In the kitchen it is common for kitchen fitters to extend a socket from the original position to some where more assessable, they will have joined the cables some how, so any sockets in a cupboard find out where supplied from.
I still think likely rodent attack, this may also explain time, 1 am rodent may think it is safe to move around knocking some cable.
As an electrician I would use meters, however I remember daughters it was the screw holding socket in place touching neutral to earth, and it was triggered when floor boards moved slightly as they went to bed, found by visual inspection.