This NZeTA can only be used if you are a transit passenger passing through Auckland International Airport to or from Australia or if you are travelling to New Zealand on a cruise. Transit passengers must remain in the transit area of Auckland International Airport.
When you travel to New Zealand you will need to have a current Australian permanent resident visa that allows you to return to Australian from overseas.
You are not eligible for an NZeTA. Apply for a Visitor Visa.
You do not need an NZeTA if you are travelling on a New Zealand or Australian passport.
Based on your answers, you cannot apply for an eTA. You may need a visa or other type of travel document to travel to New Zealand.
If your correctly answer is "yes", your application will be probably revised before the result. Also documentations will be required. In your process we recommend that you use this link for continue.