Can I use Rare Candy on a Scatterbug the first turn of the game or the turn that Scatterbug is played, since "Adaptive Evolution" says it can evolve in those cases?
No, you can't use Rare Candy to evolve in either of those conditions because the text on Rare Candy specifically prevents it.
Source: Scarlet & Violet FAQ; TPCi Rules Team (2023-03-30)
Beginning with the Scarlet & Violet expansion, "Pokemon Tool" will be its own category of Trainer card; Pokemon Tool cards will no longer be printed as Item cards. Pokemon Tool cards from all previous series will receive errata to align with this change, meaning that older Tool cards are no longer considered as "Item cards".
Source: TPCi Announcements (2022-12-12) [https://www.pokemon.com/us/pokemon-news/2023-pokemon-tcg-standard-format-rotation-and-pokemon-tool-errata]; Scarlet & Violet FAQ; TPCi Rules Team (2023-03-30)
If I use Sky Seal Stone's "Star Order" Ability and then my Basic Pokemon V's attack knocks out my opponent's Active Mew VMAX with a Fusion Strike Energy attached, do I take an additional prize card or not?
Fusion Strike Energy prevents all effects of your Pokemon's Abilities done to the opponent's Fusion Strike Pokemon the energy card is attached to; but the effect of Star Order is not on the opponent’s Pokemon, so you get to take the extra prize.
Source: TPCi Rules Team (2023-01-26)
Does Sky Seal Stone's "Star Order" Ability apply if my Active Basic Pokemon V is not the one with Sky Seal Stone attached?
Yes, using Star Order applies to ANY of your Basic Pokemon V for the rest of your turn.
Source: TPCi Rules Team (2023-01-26)
Any effect that alters the cost of a Pokemon's attacks is intended to alter the cost of ANY attack that Pokemon uses, not just the ones printed on the card. This means any attack that the Pokemon is given access to, such as Earthen Seal Stone's "Star Gravity" attack when attached as a tool, can be used at the altered cost when effects such as Galarian Zapdos V's "Fighting Instinct" Ability are in play. For example, Fighting Instinct says, "This Pokemon's attacks cost {C} less for each of your opponent's Pokemon V in play"; however a more accurate description would be, "Attacks that this Pokemon uses cost {C} less for each of your opponent's Pokemon V in play." This applies to effects that reduce or increase attack costs, and goes all the way back to the Black & White series thru current series.
Source: TPCi Rules Team (2022-12-01)
Can a player use Serena's first option if they would still have 5 or more cards in their hand even after discarding 3 cards?
The main effect of Serena's first option is to discard cards from your hand; so as long as you can discard at least 1 card from your hand you can use it.
Source: TPCi Rules Team (2022-11-10)
After using Unown VSTAR's "Star Cipher" attack while Path to the Peak is in play, I then use Spiritomb's "Ticking Terror" attack to change the Defending Pokemon's Weakness to {D}. If my opponent removes Path to the Peak from play, what will that Pokemon's Weakness be?
The Weakness will be {P}. Once Path to the Peak is removed from play Star Cipher's effect will reapply, and the most recent Weakness-changing effect takes precedent.
Source: TPCi Rules Team (2022-11-10)