I don't have much experience with RR or Hibernation. Hopefully someone else will help you out.
Sb won't close it self when you exit RR, but I thought RR did automatically close all embedded apps. If it doesn't, then yeah, script it.
Sb is generic for any app, therefore there is not and will never be a "setting" to wake up BT. However, you can have Sb run an auto-it script after resuming from hibernation and that script could wake up the BT if you know how to do that.
I'm not sure if any of this made an sense to you, but I don't really know what else to say to help. Good luck, and feel free to ask more questions.