On my last turn, I attacked with Blitzle's "Thunder Spear" attack. If I evolve it into Zebstrika this turn and use "Coordinated Bolt", will it do extra damage?
Yes, Zebstrika is not the Pokemon that attacked last turn; Blitzle was your other Rapid Strike Pokemon that used an attack on the previous turn.
Source: Chilling Reign FAQ; TPCi Rules Team (2021-06-17)
On my opponent's last turn, they flipped heads for Diglett's "Dig" attack. If I use Blissey V's "Blissful Blast" attack on my turn, would I be able to attach Energy cards from my discard pile?
No. Since Blissful Blast did no damage due to Dig, you cannot get any Energy cards from the discard pile with Blissful Blast.
Source: Chilling Reign FAQ; TPCi Rules Team (2021-06-17)
Player A attacks and flips a heads for "Agility". Then Player B uses Single Strike Urshifu VMAX's "G-Max One Blow" attack; would this ignore Agility?
In this case, Agility would be considered an "effect on the Defending Pokémon" and therefore G-Max One Blow would be able to overcome Agility.
Source: PUI Rules Team (2005-02-17); TPCi Rules Team (2021-05-13)
If my opponent uses Guzzlord's "Red Banquet" attack and my Active Pokemon with Big Parasol attached gets KO'd, does my opponent get to take an extra prize for "Red Banquet" or not?
Big Parasol prevents all effects of attacks from your opponent's Pokemon done to your Pokemon; but taking an extra prize is a game effect, not "an effect done to your Pokemon", so your opponent gets to take the extra prize.
Source: TPCi Rules Team (2021-04-08)
If my opponent takes a prize and then I use Naganadel GX's "Injection GX" attack to add a prize to my opponent's Prize Cards, would my Dubwool V's "Revenge Blast" attack do only 120 damage because the number of prizes in my opponent's Prize Card area has increased? Or does it do 150 damage (120+30) because the opponent has already taken that prize (even though it is now back in the prize pile)?
Revenge Blast is based on the number of prize cards TAKEN, so even though the Prize Card gets put back into the opponent's area it still counts as +30 damage for Revenge Blast.
Source: TPCi Rules Team (2021-03-25)
If my opponent used Lickilicky's "Selickt" attack, can I choose the option to discard from my hand if I have less than 3 cards in my hand?
If you have no cards in your hand, you must discard cards from your deck. But if you have at least 1 card in your hand, you can choose either option.
Source: Battle Styles FAQ; TPCi Rules Team (2021-03-18)
If I use Cacturne's "Pull" attack, who chooses which Pokemon becomes Active?
The attacking player chooses which of the opponent's Pokemon becomes Active.
Source: Battle Styles FAQ; TPCi Rules Team (2021-03-18)
If I use Victini V's "V Bullet" attack or Victini VMax's "Max Victory" attack and my opponent’s Active Pokemon is a VMax Pokemon, does the attack do more damage?
Yes, per the Rule Book, Pokemon VMAX are always considered to be Pokemon V.
Source: Battle Styles FAQ; TPCi Rules Team (2021-03-18)
If I have Kingdra with the "Deep Sea King" Ability on the bench and my opponent uses Heatmor's "Burning Licks" attack that discards energy cards from my Active Pokemon and also knocks it out, can I move those energy cards to Kingdra before they are discarded?
No, the discard effect of the attack happens first, but you don't move energy for Deep Sea King until after you resolve the Knock Out.
Source: Battle Styles FAQ; TPCi Rules Team (2021-03-18)
When using Alolan Raichu's "Electro Rain" attack or Hoopa GX's "Devilish Hands GX" attack with a Telescopic Sight tool attached, would Telescopic Sight boost the damage to Pokemon-GX and Pokemon-V each and every time I choose that Pokemon?
Per the rule book you make all your choices first, calculate the damage, then apply modifiers (such as Telescopic Sight), and then apply damage to the chosen Pokemon. So you would not get to add +30 more than once if you choose the same Pokemon again and again; however if you choose multiple Pokemon-GX or Pokemon-V, you would get to add +30 to each of those.
Source: TPCi Rules Team (2020-12-10)