OK Willy, good news on the stator - that looks good at least.
Are you still seing same issue with the lights doint the pulsating thing?
Next check would be the R/R
Unplug connector to it - it might be easier to remove it from bike for testing.
Again set your meter to resistance (if it has a 'diode' range' then that is the best one to use for this test)
You will want to measure with one probe in each terminal of the input wires to the the positive & negative output wires:
Red Probe/Black Probe
Black1/Black/Red
Black1/Black/White
Black2/Black/Red
Black2/Black/White
Black3/Black/Red
Black3/Black/White
Then reverse the polarity of the test probes:
Black Probe/Red Probe
Black1/Black/Red
Black1/Black/White
Black2/Black/Red
Black2/Black/White
Black3/Black/Red
Black3/Black/White
None of these should read short:
Best if you just post the results