Because your baby died before 20 weeks gestation, there are no legal requirements governing what you can or can not do. Neither the birth nor the death need registering, unless your baby weighs more than 400 grams or was born alive. Loss after 20 weeks is referred to as a ‘still-birth’ (SANDS.org.nz the support group) and in New Zealand requires registering as a birth and having a death certificate issued.
List of remembrance areas and places to bury your baby in Auckland