The Honorary Consulate in Auckland is closed.
There is an Honorary Consulate in Lower Hutt. That post is not currently authorised to perform official consular acts, like issuing passports or powers of attorney ("procurações").
Honorary Consulate in Wellington:
The full range of consular services is available in both Sydney and Canberra.
(The current Portuguese Consul General in Sydney has decided to instruct that office to cease taking phone calls from the public.)
Consular Section of the Portuguese Embassy in Canberra: