Since a BREAK Pokemon "retains the attacks, Abilities, Weakness, Resistance, and Retreat Cost of its previous Evolution" can a Mew EX with the "Versatile" Ability use an attack of the Pokemon that the BREAK Pokemon evolved from (providing it meets energy requirements, etc.)?
Yes, it can. The underlying Pokemon's attacks are part of the BREAK Evolved Pokemon and are therefore able to be copied by Versatile.
Source: TPCi Rules Team (2015-12-03)
For Haunter's "Gothic Fear" Ability, can I choose to confuse only one of the Active Pokemon or must BOTH of them be Confused?
It's either both or none; you cannot choose only yours or only your opponent's Active Pokemon to be Confused.
Source: BREAKthrough FAQ (2015-11-19), TPCi Rules Team (2015-11-19)
If I have more than one {L} Energy attached to Raikou, does its "Shining Body" Ability reduce the damage done to it by 20 for each {L} Energy?
No, you only get a maximum of 20 damage reduced from this Ability.
Source: BREAKthrough FAQ (2015-11-19), TPCi Rules Team (2015-11-19)
If I attach a Grass energy from my hand using M Sceptile EX's "Jagged Saber" attack to a benched Malamar EX, will I be able to use Malamar EX's "Hyper Hypnosis" Ability to put my opponent's Active Pokemon to sleep?
Yes, you can. An Energy is being attached from your hand to Malamar-EX, so Hyper Hypnosis can be used.
Source: TPCi Rules Team (2015-10-29)
Does a BREAK Evolved Pokemon such as Raichu BREAK or Marowak BREAK still have access to the type changes from Flareon's "Flare Effect" ability or Vaporeon's "Aqua Effect" ability or Jolteon's "Electric Effect" ability? Or do those Abilities no longer apply after the Stage 1 Pokemon becomes a BREAK Evolved Pokemon?
Pokemon BREAK are their own classification, so they are not considered Stage 1 Pokemon. Although BREAK Evolved Pokemon share many of the traits of the Pokemon it evolves from, it is no longer a Pokemon of the previous stage it evolved from. Since it is no longer a Stage 1 Pokemon, the Flareon's/Vaporeon's/Jolteon's abilities do not apply.
Source: TPCi Rules Team (2015-10-29)
If I use Absol's "Cursed Eyes" Ability to move three damage counters from one of my opponent's Pokemon to another, what happens if I choose a Pokemon with the "Theta Stop" Ancient Trait?
Since Theta Stop prevents all effects of Abilities done by your Pokemon, if you choose to move the damage counters to a Pokemon with Theta Stop the damage counters would be discarded rather than moved onto that Pokemon. However, if you choose a Pokemon with Theta Stop as the source of where the damage counters would be moved from, they simply are not moved and the Cursed Eyes ability stops there.
Source: TPCi Rules Team (2015-09-03), TPCi Rules Team (2015-09-24)
If a Pokemon with an Ability also has the "Theta Stop" Ancient Trait, would it prevent Wobbuffet's "Bide Barricade" from stopping that Ability?
Yes it would because Bide Barricade is an effect that is targeting the Pokemon, so Theta Stop would prevent Bide Barricade from blocking the Pokemon's Ability.
Source: TPCi Rules Team (2015-09-03)
If I use Mega Sceptile EX's "Jagged Saber" attack against Giratina EX with the "Renegade Pulse" Ancient Trait, does Mega Sceptile EX's "Theta Stop" Ancient Trait prevent "Renegade Pulse" from blocking the damage? If not, then does "Renegade Pulse" prevent "Jagged Saber" from attaching any Grass Energy?
Renegade Pulse prevents all effects of attacks done to Giratina EX, but it does not "do anything" to Mega Sceptile EX for its Theta Stop to kick in. So the damage part is blocked by Renegade Pulse, but the effect of attaching energy is not being done to Giratina EX so that part of the attack does not get blocked.
Source: TPCi Rules Team (2015-09-03)
If Sceptile-EX has its Spirit Link tool attached, but Banette's "Tool Concealment" Ability is in play, what happens if you evolve to Mega Sceptile-EX with the "Theta Stop" Ancient Trait?
Theta Stop prevents the effect of Banette's ability against Mega Sceptile-EX in time for the Spirit Link tool to turn back on and not make you end your turn.
Source: Ancient Origins FAQ (2015-08-13), TPCi Rules Team (2015-08-13)
Does Golurk's "Double Type" ability which says "As long as this Pokemon is in play it is both {P} and {F} type" block Flareon's "Flare Effect" ability or Vaporeon's "Aqua Effect" ability or Jolteon's "Electric Effect" ability which adds {R} or {W} or {L} to any stage 1 Pokemon?
No. Golurk would have all 5 types if all of those Abilities were present.
Source: Ancient Origins FAQ (2015-08-13), TPCi Rules Team (2015-08-13)