Yes that appears to be a failed solenoid, should be around 4kohm.
No! Look at his picture! He has just put both probes on the chunk of metal that holds the solenoid in place!
@Keitai, seriously, be very cautious about what you do here. There is mains electricity and potentially very high currents.
How old is the shower? You still have the guarantee sticker on it, it is still covered?
