Andy,
Has the immersion been switched on recently? as in the last 24 hours? if it has and the RCD hasnt tripped then it wont be the immersion.
Its unlikely to be caused by the lack of heating and moisture, though there could be an underlying issue. It really could be anything.
The arrangement of one RCD that covers a number of circuits is exactly what you are experiencing, IF you get the consumer unit replaced RCBO is what you want. An RCD for each circuit and this removes collateral damage.
However there will be a root cause that is causing the trip which should be identified and fixed. It could be the wiring or an appliance, or even the RCD. If you cant manage to identify the culprit its likely you will have to get somebody in who has access to test equipment to locate the fault