hmmm careful, multimeters measure resistance and you can't figure current knowing resistance and volts if its an AC signal with a coil . I agree, if the power is given, then yes Ohm's law works, but we're dealing with with AC so the ohms has to be impedance not resistance....and you can't measure impedance with a multimeter (they measure resistance only, whereas impedance is resistance, inductance and capacitance, you need a fancy LCR).
Look at it this way, if you connected a wire between the legs of AC mains, bang you blow the breaker. But if you coil that same wire, it now has inductance. That's why say a transformer (which is a wire connecting the mains but in a coil) doesn't blow the breaker.
I think the right answer was given on the switch so all is good, just saying with coils and AC keep in mind inductance has to part of applying ohms law to get power
Good job on the repair, it looks very professional