Just to mention that in agreement with the general jist that its faulty rcd but you said its not the tester because you tried it on a rcd you knew to be good, just be careful here with your method of thinking, the only way to proof test meters is callobration, and relying on the results of other tests shouldn't be how you diagnose the issue, if the meter had a fault then the other install may be giving false positive results.
In this situe try borrow another rcd from a collegue or other electrician you may know if not then an earlier than expected calibration would be the only way to say meter is fine. In your situe though its probably just as quick to replace suspect rcd and see what the meter does then.