Space tourism is a LONG way from moon tourism. The moon is a vast distance from the earth, it's by far the furthest from our planet that man has ever gone. There is a huge difference between a jaunt into low earth orbit and a round trip to the moon, and if you want to physically visit the surface of the moon that's a whole new level of complexity. There's a reason we only sent people there a handful of times, it's seriously expensive, difficult and dangerous.
As far as NASA claiming ownership to the stuff on the moon, what are they gonna do about it if someone manages to get there and swipe something? It's not like some random guy is gonna build a rocket in his back yard and get there, it will be a major effort by the government of a large country. I don't think we'd declare war on China or Russia or whatever over it.