So sorry this is happening to you. Easily the most frustrating part of applying from NZ. When we got this RFE, I also emailed the consulate at AucklandIV@state.gov to confirm they received it and passed it on to NVC. Make sure you include your full name and case number when you email. Then I would call NVC (expect to wait on hold for ages) and stress that what you submitted the first time was correct and ask if they can flag it to be reviewed by a supervisor instead of going back to end of the line. Unfortunately whenever you upload new documents in CEAC, the most date becomes your place in line. Saying that, occasionally people just seem to get lucky and get a quick second review so fingers crossed that happens for you!
Edited to add: I just re-read your post. If you haven't already added/updated any documents in CEAC DON'T change anything until you call NVC due to the reason I mentioned above about the document review date. Call then first and see if they can re-check what you already supplied.