[Bat-1]

Yes, stator/RR are usually replaced together. Measure your voltage at the battery with the bike running and applying throttle. It should read around 14.1v and not change much when revving.

The good news is the RR is fairly cheap and easy to replace.

 

[Bat-1]

I can vouch for roadstercycle. The series R/Rs he sells are top notch. Cured all the electronic ills on my Buell 1125R. On this bike the R/R (a Ducati part) was located behind the motor under the seat. On these twins that's one very hot environment. Removed stock and mounted the new one behind the license plate. Haven't had a problem since and runs at 14.1v all day long.

 

[Bat-1]

have you touched that SH847 regulator after riding?

Yes. Warm sometimes, never hot. Stock quickly became hotplate hot. Money well spent on these. And the guy will help you out if you need it.