Can I use Evosoda on a Caterpie the first turn of the game or the turn that Caterpie is played since "Adaptive Evolution" says it can evolve in those cases?
No, you can't use Evosoda to evolve in either of those conditions because the text on Evosoda specifically prevents it.
Source: TPCi Rules Team (2014-05-29)
Emolga with a Grass energy attached is poisoned and uses its "Call For Family" attack to get Virizion EX with "Verdant Wind" ability. Does it take poison damage or not?
No, because Virizion EX is in play before the end of the turn and Poison damage is taken between turns.
Source: TPCi Rules Team (2014-01-02), TPCi Rules Team (2014-05-08)
Can I use Caterpie's "Adaptive Evolution" Ability to evolve into Metapod, then immediately use Metapod's "Adaptive Evolution" Ability to evolve into Butterfree all on the same turn?
Yes, you can.
Source: Flashfire FAQ (2014-05-08), TPCi Rules Team (2014-05-08)
Does Drifblim's "Drifting Balloon" Ability affect the attacks from the Drifloon beneath it when Celebi EX with "Time Recall" is in play?
Yes, the attacks used from Drifloon will cost one less energy for each of the opponent's Team Plasma Pokemon in play.
Source: TPCi Rules Team (2014-05-08)
Is Floette's "Flower Veil" Ability stackable, such that if you have more than one in play it adds +20 for each "Flower Veil"?
Yes, that is correct.
Source: Flashfire FAQ (2014-05-08), TPCi Rules Team (2014-05-08)
Can I use Goodra's "Gooey Regeneration" Ability to discard attached Energy cards if there is no damage on Goodra.
Yes, you can.
Source: Flashfire FAQ (2014-05-08), TPCi Rules Team (2014-05-08)
Servine uses the attack "Wring Out" and flips heads against a Virizion EX with a single Grass Energy attached. It deals 30 damage, and the Grass Energy is discarded. Can the paralysis Special Condition be applied?
The Paralysis condition occurs within the attack text before discarding the energy. Since Virizion EX's Verdant Wind ability is still active the Paralysis is prevented, and then the energy is discarded.
Source: TPCi Rules Team (2014-01-02), TPCi Rules Team (2014-05-08)
If I use Aegislash's "Stance Change" Ability, to switch for another Aegislash, can I then use the new Aegislash's "Stance Change" if I want to?
No, even though you have switched to a new Aegislash card you cannot use Stance Change again because the effect of using it remains on that Pokemon.
Source: XY FAQ (2014-02-06), TPCi Rules Team (2014-02-06)
When using Aegislash's "Stance Change" Ability, do I have to switch the Doublade & Honedge underneath it too?
No, you only switch one Aegislash card for another Aegislash card.
Source: XY FAQ (2014-02-06), TPCi Rules Team (2014-02-06)