If I use Zoroark's "Phantom Transformation" Ability to put a Stage 1 Pokemon from my discard pile in its place, may I evolve it into a Stage 2 Pokemon right away?
The Stage 1 Pokemon you're putting in play is completely new; nothing carries over, and you can't evolve a Stage 1 that came into play that turn.
Source:
Evolving Skies FAQ; TPCi Rules Team (2021-08-26)
If I use Zoroark's "Phantom Transformation" Ability to put a Stage 1 Pokemon from my discard pile in its place, what happens to any damage counters or Special Conditions or effects that were on the Zoroark?
The damage counters and any Special Conditions and any effects will be removed from the newly swapped in Pokemon.
Source:
Evolving Skies FAQ; TPCi Rules Team (2021-08-26)
If I attack using Jumpluff with the "Fluffy Barrage" Ability, can I do things like attach an Energy or play a Trainer between attacks?
No, you would resolve all effects from the first attack and then either perform your second attack or pass. You don't get to go back into the main part of your turn again.
Source:
Evolving Skies FAQ; TPCi Rules Team (2021-08-26)
If I use Ludicolo's "Enthusiastic Dance" Ability and then play down a new Basic Pokemon after I use the Ability, would that new Pokemon do 100 extra damage this turn?
Yes, it doesn't matter when the Pokemon came into play.
Source:
Evolving Skies FAQ; TPCi Rules Team (2021-08-26)
Does Milotic's "Dew Guard" Ability prevent Supporter cards from removing Tools or Energy from my Pokemon?
No, Pokemon in play are not part of "you or your hand". But it will prevent your opponent from using something like Marnie to make you put your hand on the bottom of your deck and draw a new hand.
Source:
Evolving Skies FAQ; TPCi Rules Team (2021-08-26)
If a player attacks with Gengar & Mimikyu's "Horror House GX" attack, will the opponent be able to attach an energy card from their hand via Eternatus V's "Power Accelerator" attack or Shadow Rider Calyrex VMAX's "Underworld Door" Ability?
No, you can't do anything that takes a card from your hand and puts it in the play area after your opponent uses Horror House GX. That includes Abilities, card effects, and attack effects.
Say I played Mimikyu V and used its "Dummy Doll" Ability on my turn. Then on my opponent's next turn, they play a Path to the Peak stadium. Does that cancel the effect of "Dummy Doll"?
Since the Dummy Doll Ability activated and placed an effect before Path to the Peak came into play, its effect remains.