If I have Kricketune's "Swelling Tune" Ability in play, do my Kricketune Vs get +40 HP or not?
Swelling Tune is specifically referring to Kricketune, but "Kricketune V" is a different card name so it would get +40 HP.
Source: Astral Radiance FAQ; TPCi Rules Team (2022-05-26)
Can I use Hisuian Typhlosion's "Supernatural Orb" Ability if my opponent's Active Pokemon is already both Burned and Confused?
You may use Supernatural Orb if your opponent's Active Pokemon is either Burned OR Confused (or neither), but not if it is already both Burned AND Confused.
Source: Astral Radiance FAQ; TPCi Rules Team (2022-05-26)
Can I use Origin Forme Palkia VSTAR's "Star Portal" Ability to retrieve Wash Energy or Rapid Strike Energy from the discard pile?
No, Star Portal can only get basic {W} Energy, but Wash Energy and Rapid Strike Energy do not count as {W} Energy in the discard pile (nor in the deck, etc.).
Source: Astral Radiance FAQ; TPCi Rules Team (2022-05-26)
When using Darkrai VSTAR's "Star Abyss" Ability, can I use the Ability first, and then later put 2 Item cards into my hand?
No, you must take the 2 Item cards immediately when using Star Abyss. "During your turn" simply means you cannot use this Ability multiple times during the same turn.
Source: Astral Radiance FAQ; TPCi Rules Team (2022-05-26)
If I have multiple Eevee with "Resonant Evolution" in play, can each of them trigger if I evolve one other Eevee? Or do I have to evolve a separate Eevee for each one?
If you have multiple Eevee in play, playing a card from your hand to evolve 1 of them would trigger every Resonant Evolution.
Source: Astral Radiance FAQ; TPCi Rules Team (2022-05-26)
If I have multiple Regidrago in play, can I use each of their "Dragon's Hoard" Abilities during my turn?
No, you may not.
Source: Astral Radiance FAQ; TPCi Rules Team (2022-05-26)
When using Radiant Greninja's "Concealed Cards" Ability, can I discard an Energy card from my hand, and then later during my turn draw 2 cards?
No, you must draw the 2 cards immediately after discarding the Energy card. "Once during your turn" means you cannot use this Radiant Greninja's Concealed Cards Ability multiple times during the same turn.
Source: Astral Radiance FAQ; TPCi Rules Team (2022-05-26)
Can I use Regirock V, etc. to satisfy the requirements for Regigigas' "Ancient Wisdom" Ability?
No, you cannot. Ancient Wisdom is checking for exactly those card names, so Regirock V etc. wouldn't count.
Source: Astral Radiance FAQ; TPCi Rules Team (2022-05-26)
If I play Phoebe while my opponent has a Dunsparce with "Mysterious Nest" Ability in play, do my Pokemon VMAX's attacks calculate Weakness if applicable or not?
The term "any effects" does not include effects that alter Weakness and Resistance. So Phoebe does not allow you to ignore Mysterious Nest's effect.
Source: TPCi Rules Team (2022-05-05)
If my opponent has a Galarian Cursola V's "Gnawing Aura" Ability in play, if I use Zarude V's "Jungle Rising" attack and attach any energy cards to one of my Benched Pokemon, do I place the damage counters for "Gnawing Aura" first and then heal, or vice versa?
The player using Jungle Rising gets to choose which order to place damage first and then heal, or heal first and then place the damage counters for "Gnawing Aura".
Source: TPCi Rules Team (2022-05-05)