Will a multitype Pokemon such as Golurk with the "Double Type" Ability count for two different types of Pokemon for Xerneas' "Rainbow Force" attack?
Yes, Rainbow Force checks for the number of types of Pokemon on your Bench, not how many Pokemon there are.
Source: TPCi Rules Team (2016-01-07)
If I have a Hard Charm attached to Talonflame and use its "Jet Shoot" attack, then next turn my opponent does a simple attack that does 20 damage, can I pick the order of when to apply the Hard Charm's -20 reduction and "Jet Shoot's" +40 recoil? If I use Hard Charm to reduce the net damage to zero (20-20), could I then negate the "Jet Shoot" recoil?
No, it doesn't work like that. The check for effects on the defending player's Active Pokemon, such as Hard Charm and Jet Shoot, both happen at the same step in the damage calculation process. So you don't stop damage calculations mid-step just because the calculation was less than or equal to zero. The net effect of Hard Charm & Jet Shoot result in +20 damage at that step in the calculation process.
Source: TPCi Rules Team (2015-12-10)
Talonflame's "Jet Shoot" attack says, "during your opponent's next turn, any damage done to this Pokemon by attacks is increased by 40 (after applying Weakness and Resistance)." But what if on the next turn the opponent attacks with a Fighting Pokemon that normally only does 10 damage? Since Talonflame has -20 Resistance to Fighting, does the damage reduce to zero and then +40 for the "Jet Shoot"?
No, since the damage was reduced to zero there is no damage done for Jet Shoot to increase. The attack ends up doing zero damage, period.
Source: TPCi Rules Team (2015-12-03)
Does Staraptor's "Cyclone Slash" attack do any damage if the opponent has no Benched Pokemon to switch with their Active Pokemon?
Yes, it does the damage even if no Pokemon are switched.
Source: BREAKthrough FAQ (2015-11-19), TPCi Rules Team (2015-11-19)
What happens to Piloswine's "Gathering Footsteps" attack if Mamoswine has a Float Stone attached to it?
Float Stone reduces Mamoswine's Retreat Cost to zero, so you would not get to add any damage from it for Gathering Footsteps.
Source: BREAKthrough FAQ (2015-11-19), TPCi Rules Team (2015-11-19)
For Xerneas' "Power Creation" attack, does moving damage counters off of Xerneas to another Pokemon count as "Healing"?
No, moving damage counters off a Pokemon is not the same as healing damage (similar as to how moving damage counters onto a Pokemon is not the same as doing damage to it).
Source: BREAKthrough FAQ (2015-11-19), TPCi Rules Team (2015-11-19)
For Xerneas' "Power Creation" attack, do I need to heal all damage from Xerneas in order for the attack to do +80 more damage, or can I just heal some damage in order to get the benefit?
As long as you have healed any damage from Xerneas this turn, you get the bonus damage effect.
Source: BREAKthrough FAQ (2015-11-19), TPCi Rules Team (2015-11-19)
For Swoobat's "Returning Echo" attack, if it is my only Pokemon in play do I have to flip a coin for the attack?
Yes, and if you get tails your Swoobat will leave play and you will have no Pokemon remaining on the field.
Source: BREAKthrough FAQ (2015-11-19), TPCi Rules Team (2015-11-19)
What happens if Mewtwo EX uses its "Damage Change" attack against a Pokemon that blocks effects of attacks? Does nothing happen, or does Mewtwo EX get to remove its damage counters?
Mewtwo-EX would remove its damage counters, but the opponent's Active Pokemon would not remove nor receive any. If you try to move damage *to* something that blocks effects, the damage disappears. If you try to move damage *from* something that blocks effects, the damage stays there.
Source: TPCi Rules Team (2015-10-29)
What happens if Zoroark uses its "Foul Play" attack to copy Haxorus' "Dragon Dance" attack? Would it apply to Zoroark or not (because its name is not Haxorus)?
Zoroark's Foul Play can choose Dragon Dance, but since its name is not "Haxorus" the attack will basically have no effect. Dragon Dance specifically refers to Haxorus, so any Pokemon not named Haxorus cannot receive the damage boost.
Source: TPCi Rules Team (2015-10-29)