1a
No, doubt it, unless the damage is minor. It'd likely just strip again. I'm not sure that just doing it up tight should have stripped it though. That's what happens when you climb a hill
1b
Don't bother
You don't need a lockring, and loctite alone won't make much difference anyway.
What some people do use loctite for is when they put an old BB lockring onto a freewheel hub to hold the sprocket in place - they're RH threaded, like the sprocket, and the loctite is meant to help stop them undoing.
As I say, I wouldn't bother unless you are skid-stopping a lot. Once the sprocket is torqued down it won't go anywhere