Of course but, as implied in what I've just written, only if the electronics are 'powered'You've never known hardware latching up in the wrong state ...
I suppose so (although I'm not sure that you'd get enough current through ('clean') water to activate a solenoid) - but, in any event, that would require some other, presumably non-electrical, fault to have first arisen, for water to be where it shouldn't be in the first place, wouldn't it?, nor would consider that the 'start' button of a shower might be shorted out, by water?