not really, Hopes power says 'chose a STANDARD power' to copy. ZOMBIE PLAGUE is a special power and wouldn't count I think

Actually, they are right.

They are referring to Wolverine and the X-Men Hope Summers, which has this power:
While you are referring to Avengers vs X-Men Hope Summers, which has this one:
Since it's written "If she omega mutants him", they are clearly referring to the former Hope.

Would I have to choose 1; black lantern recruit or zuvembie? Assuming i had ring black ring on zuvembie and a black lantern recruit on the field

Zuvembie, Proteus. Proteus, Zuvembie. You'll be good, good friends.