I've taken an in-depth look at each of your cards and here's some wording and power comments! ^-^
Fasgia's Plasma Burn can be worded a bit differently [Ref: Heatran Lv.X]:
Your opponent can’t remove the Special Condition Burn using Trainer cards or by evolving or devolving his or her Burned Pokémon.
Just as a note, you don't need to add a "(This also includes putting a Pokémon Level-Up card onto the Burned Pokémon.)" clause because BREAK Pokemon say "evolve from" on the card, instead of "put on" that Lv.Xs used.
For Lasarat-EX's Knockout Beam, was it your intention that if you flip two tails, the attack does nothing, or was it if you flip at least 1 tails, the attack does 70 damage? It's currently worded the latter, but just checking. =P
Unown's Hidden Power should say "This attack does [...]" and instead of "even your own", while the "You may use the Ability only once per turn" clause should be rewritten as "You can’t use more than 1 Quicken Ability each turn". On the note for Unown, I do think Quicken is a bit too powerful. Even with the abundance of restrictions you've got going there, you can play four Unown in four turns and get 120 damage on each Pokemon extremely easily. If you haven't won by that stage, you can just move all the damage counters around for the KO. I'd suggest dropping the output down to 1 damage counter tops, if you can only use 1 "Quicken" Ability per turn. The other thing is that a smart deck designer can still get around the Rooted Ability. I just need to "turn off" Abilities, use a Super Scoop Up and then "turn on" Abilities again, and then you can replay Unown for more spread damage.
Lasarat's Overcharge Ability, you should write "both yours and your opponent's".
Fun fact! You don't actually need the following clause: "(That Pokémon remains Paralyzed until the end of your opponent's next turn.)" in your Lickilicky-EX. It's not very well known, but Paralysis is
only resolved at the end of a player's turn if the Pokemon was Paralyzed before the start of that player's turn. Power-wise, I think the Ability and the attack combined on Lickilicky-EX is too much. You can construct your deck around Paralysis (and perhaps use a nifty Chaos Tower to prevent it, or switching to remove the Special Condition), however your opponent may not be as fortunate. I think that Wrap Dance should be dropped to 30x and then Lickilicky wouldn't need to be Paralysed after using the attack.
I think Triplicos' Disrupt Ancient Trait should be written as [Ref: Hawlucha-EX, Snorlax EVO]:
If this Pokémon is affected by a Special Condition by the effects of an opponent's attack (even if this Pokémon is Knocked Out), flip a coin. If heads, the Attacking Pokémon is affected by the same Special Condition."
I'm not sure what you're trying to do with Duplication, since if you double it's printed HP and then heal damage when it's printed HP drops below half, you still have to deal the same amount of damage. In fact, it becomes a bit too powerful they way you've written it, since you can just heal back to more than half remaining HP and get an extra 150 HP effectively for free. Triplico's Echo attack is also too powerful, as doing 70 damage for a single [C] Energy is unheard of. 30 damage would be the cap for a single, effect-less [C] Energy.
This is how I would word Trifold Basin (which is a very neat idea, by the way!) [Ref: Sky Field]:
There can be 3 Stadium cards in play (including this card).
(If another Stadium card comes into play and if there are already 3 Stadiums cards in play, discard the first Stadium card to come into play after this card came into play.)
Right now, the only way Trifold Basin can be removed from play is through an attack, Ability, Supporter card or Item card. I think this is a bit too powerful, and I think that Trifold Basin should be removed from play if four or more Stadium cards are put into play. If you go this route, then the clause in the brackets should be: "(If this card would leave play, discard all Stadium cards in play.)"
