1. Maybe, I'll concentrate on ex NZ

2. +64 9912 8814 (http://www.aa.com/i18n/utility/inter...oneContact.jsp) There is no AA office in New Zealand. That number will connect you with a Mindpearl office in Brisbane. They often don't want to ticket an ex NZ itinerary if calling from outside NZ.

3) Generally - YMMV

4) CX flys HKG-AKL, there may be a BA codeshare