I am not sure you got this fixed yet, but older golwings had problems with the connector from the stator to the regulator. It would get corroded which would eventually cause it to burn up the connector. A REALLY east fix. I have also had to replace a stator in my GL1200.... not so easy, but I did it so no labor cost.

Rodger
2018 M3W "Dreamers on the Rise"
2004 Plus 8 (wife's)
old Goldwings and a couple of Harleys