Do you mean the 4 pin plug on the starter relay? Fix that, it may not be letting the charge get to the battery. If you mean the 3 yellow wire plug in front of the battery cut it out and solder the wires together. 1100s seldom have stator problems, assuming you mean the 1100 in your profile and 1200 is a typo.
No. there's a plug shortly after the 3 wires exit the stator- near the front of the battery. It may have been cut out and the 3 wires soldered, (if not it needs to be!). With the wires disconnected and checking across the 3 combinations of pairs you shoud see around 70v AC per pair at 3000 revs. Stop engine then test again, looking for continuity to ground this time- there should be none. There is a lot of GL1200 stator info on the forum, including how to replace it with an external, (but hidden) car alternator. Stator replacement with another stator is an engine out job, and some have been unlucky enough to have the replacement fail in short order, hence the car alternator modification. Try looking under "search" for "Stator" and "Poorboy"..........Steve