Does Mr. Mime's "Scoop-Up Block" Ability prevent Recycle Energy or U-Turn Board from going back in to the hand?
Yes, it does.
Scoop-Up BlockU-Turn BoardRecycle Energy



x2Scoop-Up Block
Your opponent’s Pokémon that have any damage counters on them, and any cards attached to those Pokémon, can’t be put into your opponent’s hand.

Psy BoltFlip a coin. If heads, your opponent's Active Pokémon is now Paralyzed.
Does Mr. Mime's "Scoop-Up Block" Ability prevent Recycle Energy or U-Turn Board from going back in to the hand?
Yes, it does.
What happens if I play Acerola or Super Scoop Up for a Pokemon with damage counters on it, but my opponent has Mr. Mime with the "Scoop-Up Block" Ability in play?
You can play the Acerola or Super Scoop Up, but its effect will be blocked and it goes to the discard pile without doing anything.