1. Wallabies were always legal to keep privately. But a permit is required, and they need to be castrated or otherwise rendered incapable of breeding. 2. This is the list you ask about: http://www.epa.govt.nz/Publications/is-animals-approved-for-zoos-in-New-Zealand-May-2012.pdf 3. If moose were still present in NZ they would be in exactly the same situation as all the other deer species in terms of who and how they could be kept.
