Made it to LA but had to take the gun through customs. Air New Zealand said I wouldn't have to, but it turns out they were wrong!
After a couple of tense moments with supervisors being called etc, they've accepted the gun and put it through for the final leg from LA to Auckland.
A tip when taking your gun through LA, never refer to it as a firearm - it's a 'Pellet Gun' or 'BB Gun' - it makes things a little less tense when you call it that
Cheers for the good luck wishes - I've also managed to pack all the Team England hoodies and hats in my luggage so at least we'll all look like a team.
Next stop Auckland, New Zealand in about 16 hours time.