Can I evolve my Unown [V] from the Neo or Diamond & Pearl series into Unown VSTAR?
No, you cannot. Unown [V] is a different card name than Unown V.
Source: TPCi Rules Team (2022-11-10)
If I have a heavily damaged Basic Pokemon V in play, can I use Thorton to switch it with a regular one-prize Basic Pokemon from my discard pile?
Yes, and if the new Basic Pokemon has less HP than the amount of damage counters it is immediately KO'd and will relinquish only one prize to your opponent.
Source: TPCi Rules Team (2022-09-29)
If I use a VSTAR Ability can I also use a VSTAR Attack in the same game?
When you use a VSTAR Ability or Attack you flip over your VSTAR marker. Once that marker is set, you cannot use another VSTAR Attack or Ability during that game.
Source: Brilliant Stars FAQ; TPCi Rules Team (2022-02-24)
What kinds of Pokemon are considered to be "Pokemon V"?
Pokemon V includes Pokemon V, Pokemon VMAX, Pokemon VSTAR, and Pokemon V-UNION.
Source: Brilliant Stars FAQ; TPCi Rules Team (2022-02-24)