Restless leg/limb has nothing to do with involuntary movements, so I don't think that's what you have here. RLS features a restless sensation, and sensations generally require consciousness.
No idea - when I'm awake it's definitely a restless sensation. Ultimately I'm the one that moves my leg, but it becomes nearly impossible to resist. It's a hard to describe feeling, a growing tension that almost buzzes electricity - not painful, but .. insanely insistent regardless.
I only found out that I kick in my sleep from my wife. She says it's worse on days when I actively, while awake, complain of restless legs.
Beyond that I've got no idea. It's not something that seemed to be dangerous nor bother me enough to see a doctor due to the infrequency that it bothers me while awake. If it occurred often while I was awake though, I'd have to see a doctor. No question.