Ring Gear will not come off of carrier?

It should come off relatively easy. Maybe the rear was in before and some kind of adhesive was used between the ring gear and the carrier? :shrug:

Try to use some kind of prying method to see if you can GENTLY pry them apart or see what's up between them. There is no need to act like an animal when you do this. I've found that when acting like an animal on any part of a car, your knuckles will suffer the consequences. ;)

Joe