If I use Lampent's "Alluring Fireball" attack or Elektross' "Suction Shock" attack and my opponent has no Benched Pokemon, do I do damage to or get to flip to paralyze the current Active?
No. The attack specifies that the damage and effect are only done to "the new Active Pokemon"
Source:
Obsidian Flames FAQ; TPCi Rules Team (2023-08-10)
My opponent has Malamar with the "Contrary" Ability in the Active Spot. On my turn, I attach Blunder Policy to my Fuecoco and use its "Spacing Out" attack and I flip heads. The coin result will be treated as tails, but since the physical coin flipped heads do I get to draw 3 cards with the effect of Blunder Policy?
There is no distinction between the actual result of the coin flip vs. what the outcome is treated as. Regardless of what the physical coin shows the flip was tails, so you would get to draw 3 cards from the effect of Blunder Policy.
My opponent's Active Pokemon is Eternatus VMAX with the "Eternal Zone" Ability working, and they have 8 Pokemon on their Bench. I use Quaquaval ex's "Exciting Dance" attack, doing damage to Eternatus VMAX and then sending out Ting-Lu ex. Will Ting-Lu ex's "Cursed Land" Ability shut off "Eternal Zone" before the entire effect of "Exciting Dance" completes?
Yes. The switch effect of Quaquaval ex happens, and then with Ting-Lu ex entering the Active Spot, Eternatus VMAX's Ability gets shut off, meaning that player must immediately discard Pokemon until they have 5 Benched Pokemon. Then, Eternatus VMAX switches with a Benched Pokemon.
If my opponent used Quaxly's "Apply Gel" attack against Tinkatuff on their turn, could I use Tinkatuff's "Pulverizing Press" attack and ignore the requirement to flip?
No, as long as the Apply Gel effect is on Tinkatuff you would have to flip heads in order to even start your attack.
Source:
Paldea Evolved FAQ; TPCi Rules Team (2023-06-08)
If Annihilape ex only has 10HP left, can I use its "Angry Grudge" attack and place all 12 damage counters onto it?
Sure, ka-boom!!! You can put up to 12 damage counters on it even if it doesn't have that much HP remaining. Annihilape ex will do 20x each damage counter that was placed, and at the end of the attack Annihilape ex will be knocked out.
Source:
Paldea Evolved FAQ; TPCi Rules Team (2023-06-08)