I think there was a program around at one time that was part of the Gbox package that could be used to generate a pairing code for an already paired box/card. This pairing code could then be used in the gbox cam on a dreambox to give you all the channels you were subscribed to.
Gbox-Keygen or something similar I think it was called
Not sure if it would work on a New Zealand card though. All NDS customers seem to get a different variant of the system so what works in one place rarely works in another.