If you had gotten the red dye from PER - MEL, you could have got that 777 MEL - AKL with a J class.
Dep PER at a bit before midnight, get to MEL about 6.30am, will have enough time to use the Koru Lounge till the 777 departs at 11.45am.
But if you can't change flights, its a pity.
That 777 is what I would have aimed for. I have gotten the 777 in premY, nice. Have also used the 777 in J, and the 767 in J. Later this year or early next year, (A) NZ will have a 787 on the MEL - AKL route in the evenings.
I have also squashed into NZ Y, never again.
Can you change your flights?
If you are on an upgrade, that PER - MEL J is good in the VA 737 or VA 330, but if you paid cold hard cash for J over the ditch, it was a waste of money. Or points.
If no status, and as no J on the flight you are currently on, I don't like your chances of getting into the MEL Koru Lounge. Your BP would MEL - AKL would most likely show Economy.