Deoxys EX's "Power Connect" Ability refers to "your Team Plasma Pokémon's attacks (excluding Deoxys-EX)". Does that mean to exclude ALL of your Deoxys EX in play, or just one with the "Power Connect" Ability?
It refers to all of your Deoxys EX in play.
Source:
Plasma Freeze FAQ (2013-05-16), TPCi Rules Team (2013-05-16)
If I use Exeggcute's "Propagation" Ability to retrieve it from the Discard Pile into my hand, then use something like Ultra Ball or Computer Search to discard Exeggcute, would I be able to use "Propagation" again to retrieve it from the Discard Pile?
Yes, whenever Exeggcute is in the Discard Pile, you may use Propagation during your turn as long as its Ability has not been disabled.
Source:
Plasma Freeze FAQ (2013-05-16), TPCi Rules Team (2013-05-16)
If I use Weavile's "Vilify" attack to discard one or more Exeggcute, can I use Exeggcute's "Propagation" Ability to immediately retrieve it back into my hand?
No, you cannot. Propagation can only be used on your turn before your attack, not during your attack nor afterward.
Source:
Plasma Freeze FAQ (2013-05-16), TPCi Rules Team (2013-05-16)
If I use Cofagrigus' "Six Feet Under" Ability and Cofagrigus is either my last Pokemon in play and/or is my opponent's last prize, but the three damage counters placed onto my opponent's Pokemon allow me to KO their last Pokemon and/or take my last prize, what happens next?
If both players arrived at a win condition at the same time but one player has more win conditions than the other (like KO'ing the last Pokemon AND taking their sixth prize), the player with the most win conditions met wins the game. However, if both players have the same number of win conditions, the game is declared a Draw and a one-prize Sudden Death game takes place to determine the winner.
Source:
Plasma Freeze FAQ (2013-05-16), TPCi Rules Team (2013-05-16)
If my Lugia EX knocks out an opponent's Garbodor with the "Garbotoxin" Ability and a tool attached, does Lugia EX's "Overflow" Ability turn on in time for it to take two prizes?
Nope, Garbotoxin is still active when Garbodor is KO'd, so Lugia EX does not get to take 1 more prize card for Overflow.
