That JQ35/10/ etc, might be a dream to use, but to fly through the hoops to use international terminal, its a pain in the bum.
Ie, you CANNOT do OLCI, as you have to show your passport to check in staff to get a boarding pass, how do I know? I have done it. You can go to manage your bookings on JQ, but you cannot do online check in.
Checkin opens 3 hours prior to flight, so you have to line up with the other mugs, better be at the airport I DO REALISE/REALIZE the OP is not flying anymore on the date in question, but you have to there early.
Then within the 3 hours deadline to zero time, rush through Immigration and Customs Processing, and if thats not enough, go through International Security, no toothpaste etc LGA rules...
Then pass through the perfumery, where all those duty free people try to stop you, but you with a D in your boarding pass CANNOT buy duty free!!! Try telling them that.
Get to the F lounge, maybe 1.5 hours, keeping in mind you have to be at the gate 45 mins before, so you only have about half an hour in the F lounge...
Better to fly over to NZ on EK 380, for the real experience.
Granted the OP will have ExpressPath, but still, its quite a pain in the bum to use JQ35/JQ10, and its ilk.
NOT to mention on arrival into Melbourne, that you cannot use SmartGate, so have to line up in the Australian passport line, ... all the Malarke!