Long overdue update: We got a new fridge!
Electrical appliance engineer came out and couldn’t find any thing wrong with dishwasher. The heat damage on the back is common, it happen where the waste pipe is contacting the meltable plastic on the back of the appliance
Electrician came out and spent three hours testing sockets, RCD and just about everthing else. Was about to pull walls apart to visually check wiring when he randonmly decided to test the fridge. Turns out the compressor was faulty and when it was working hard it was blowing the RCD. So, when the dishwasher got really hot, the heat was being sent around the back of the fridge, compressor would kick in and RCD would blow.
So, new fridge delivered next day from AO.com, improved ventilation for dishwasher and been sorted ever since.