Wikipedia says
A superhero or superheroine is a stock character that typically possesses superpowers, abilities beyond those of ordinary people, and fits the role of the hero, typically using their powers to help the world become a better place, or dedicating themselves to protecting the public and fighting crime.
So yes, he is definitely dedicated to protecting the public, but it feels wrong to call him a super hero. What do you think?
Yes, but they all have different abilities. or at the very least don’t have the same ones often. Captain America can’t turn into a giant green monster, and so on.
I’m not so sure the definition provided is sufficiently narrow, but Luke Skywalker specifically doesn’t fit into it as given.