You can eliminate the running water noise in the sink and the pipes using a car vibration isolator.
You can buy such an isolator in a car shop. You can use it to reduce the noise in a metal sink, bathtub, or pipes. Cut the material into strips, heat them a little with a hairdryer, and stick it to a clean surface. After that, press the material with something flat. The author of this article did it and this is the result.
#5 will not crack the bowl, not at all... If you need to cool the food for some reason, just place the metal pot into a water filled sink.
#9 any oil will work, something like WD40 will react faster and be easier to clean up afterwards.
#13 liquid soap > car product and no need to wipe anything.
And yet, you obviously keep coming back for that BS again and again..