When you play a Warp Point in Team Multiplay, how does it work?
Play the card as written. The player who uses the card gets to decide which opponent it affects and which member of his or her team it affects. Each of those players gets to choose which Pokemon they switch up from their own bench.
When using Agility in Team Play, can you specify which of the opposing team's Active Pokemon is affected by the Agility effect, or does it HAVE to be the Defending Pokemon that you are attacking with Agility?
It does have a you or your in it, so you would be able to select which opponent's active Pokemon it affects.
In Team Play, when an attack like Kakuna's "Secrete Poison" or "Agility" specifies the phrase "during your opponent's next turn", does that count for both opponents or do you have to choose one of the opponents to have the effect during their turn only?
ANY Pokemon attack or Power that can only be used once per turn, is reset if that Pokemon evolves or devolves or leaves play and that power or attack could be used again if that Pokemon came into play again that same turn. The "can't use this attack next turn" sets up a status effect that can be ended through the normal means: benching, leaving play, evolving or devolving. With Pokemon Powers though, you can't get around the once per turn by benching. Benching a Pokemon does NOT get around these effects as they are still the same Pokemon and still in play. [Ed.Note: This does not apply to Tentacool Lv.10 (Fossil) which specifically states in the text of the power that it cannot be used on the same turn it comes into play.]
Can Pokemon be Knocked Out partway through completing the Trainer card?
A Pokemon cannot be Knocked Out partway through the Trainer card. You must complete all of the actions of a Trainer card BEFORE you check for game state checks (to see if a Pokemon is Knocked out for example).
A Special Energy Card remains a Special Energy card regardless of what happens to it. A Fire Burned Rainbow Energy may only produce Fire energy but it would still be considered a Special Energy card as well.