The three elements I have changed all failed open circuit, so no trips.
I would power up with the fridge turned off to see if the RCD still trips.
I found the easiest way to change the element was through outside vents, this entails identifying the correct element wire they are usually two 12v and 230v, but with different colour outer sheaths.
Cut the old element wire and connect up the new one, I used porcelain connectors due to the heat in that area.
Spare elements are available of the shelf at the dealers usually.