If my Yveltal with "Fright Night" Ability gets KO'd, am I then able to use Exp.Share on one of my Benched Pokemon to recover one of Yveltal's Basic Energy cards?
Sorry, but no. Fright Night would still be working so Exp.Share would not enable before Yveltal hits the Discard Pile.
Can I use Starmie's "Space Beacon" Ability to discard a card from my hand if there are no Basic Energies in my Discard Pile?
Yes you can. The first part of Space Beacon is to discard a card from your hand, period. Then you do as much of the rest of the Ability as you are able to.
If I used Volcanion EX's "Volcanic Heat" attack last turn, then on this turn I play Marowak and use its "Bodyguard" ability that says to "remove any existing effects", does that mean I can use Volcanion EX's "Volcanic Heat" attack on this turn?
Sorry, but no. You can only remove effects that were done by your opponent's Pokemon, not effects done by your own Pokemon.
Can I use Arcanine's "Burning Road" Ability any time during my turn, or do I have to use it the moment Arcanine becomes Active?
As soon as Arcanine goes from the Bench to become Active you must choose immediately whether you're going to use Burning Road or not; you cannot delay the action until later in the turn. If you choose not to use Burning Road at that time, you could use it later if Arcanine somehow goes back to the Bench and becomes Active again. Also, if you use an attack like Growlithe's "Hind Kick" and Arcanine becomes Active, you could use Burning Road if you haven't already used it that turn.
Source:
Evolutions FAQ (2016-11-03), TPCi Rules Team (2016-11-03)
When I use Imakuni?'s Doduo's "Frenzied Escape" Pokemon Power, can I put the card into a top-loader to prevent it from getting damaged when I throw it?
No, that would cause a "marked card" situation and is not allowed. Besides, you could really hurt someone flinging a top-loader like that (shame, shame)!
Source:
Evolutions FAQ (2016-11-03), TPCi Rules Team (2016-11-03)
Say I have an Yveltal with "Fright Night" Ability as my Active Pokemon with Bursting Balloon attached, then I play Hex Maniac. What happens at the end of my opponent's turn, when they attack and do damage to Yveltal?
Hex Maniac works until the end of your opponent's turn. At the end of your opponent's turn, you check to see if Bursting Balloon gets discarded. So Bursting Balloon places the 6 damage counters, Hex Maniac's effect wears off, and then Fright Night is reactivated preventing Bursting Balloon from being discarded.
Talonflame's "Gale Wings" Ability says if it's in your hand when you are setting up to play, you may put it face down as your Active Pokemon. If your opening hand has no Basics but you do have Talonflame, you can choose to put it out as your Active OR show you have no basics and mulligan... YOU DECIDE.
Source:
Steam Siege FAQ (2016-08-04), TPCi Rules Team (2016-08-04)