Japanese 1st Edition vs Unlimited

No, the VS set was only printed in 1st edition. The Pryce’s Lapras has an unlimited edition version, which came in a magazine, but that’s the only exception I’m aware of for this set. EDIT: I should have read the other comments before making my own, since this has already been said by @kpod and @andrea.

Almost all. There are some for which 1st and unlimited edition are about equally as rare; for the Base Set, the No Rarity (which you could consider 1st edition) is of course rarer than the one with rarity symbols; but in a lot of the Japanese sets, the unlimited edition are indeed a lot shorter printed and therefore rarer.

Yes, there are sets with just a 1st edition print run; there are set with just an unlimited edition print run; and as mentioned at point 2, there are sets with both, but where unlimited edition is A LOT shorter printed and rarer.

Here an overview of some sets within these three categories from the bottom of my 1st edition stamp variations article:

Greetz,
Quuador