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Run a long extension out to the freezer from another house circuit with rcd. See if the freezer trips the rcd on that circuit. If not you need to check the insulation resistance of the cable connecting house to outbuilding and the condition of the internal sockets.
The big yellow power box is a 110v transformer which is standard on building sites because it's not as lethal as 240v in the case that a builder should damage a cable with or while operating a power tool.
If the problem were linked to the builders and not the freezer then damage to sockets or possibly larger current draw causing deterioration through arcing in already damaged cable insulation is a possibility.
Freezers in outbuildings do have a reputation for failing like this over time though. Sometimes the compressor starting can draw too much current when it's reaching end of life, also check the lamp inside it if it has one.
Of course this could all be wrong as you don't really have enough information about the circuit to tell yet.
Sort of cross post from the smart home thread, but this is more about trouble shooting.
Any ideas?
Also where do I start trouble shooting? Unplugging everything, and plugging in one-by-one, but what do I do after that?
Cheers