Interesting to see NZ/AN both had prop services between AKL//CHC, don't how well an ATR would go do with the normal crowd this days if pulled up at you gate for your AKL-CHC service...
Neither NZ or AN flew props direct from AKL to CHC but may have retained the same flight number for a two leg indirect flight, most likely via TRG PMR, or NPE
Yes, most AKL-CHC multi stops went through PMR from what I recall. ZQ had a DH8 leave CHC at an ungodly hour (~4:45am) for PMR and then AKL, presumably freight or courier traffic was a significant part of the traffic makeup. I'm not sure how many people actually booked on these one-stop flights between the main centres though, I'd assume it was pretty low numbers. The one exception I can think of was the 06:30 WLG-PMR-AKL flight which gave people an alternative to the heavily booked 07:00 WLG-AKL flight. It wasn't unusual to have a handful (or more) of people travelling to AKL via PMR.
These multi sector flights where very common up until the 2000's. especially through Wellington. AKL-WLG-CHC, AKL-WLG-DUD-IVC (the AKL-WLG-DUD part lasted until recently), NSN-WLG-NPE, CHC-WLG-PMR (by ATR) amoungst others where all very common. Various business changes (mostly well though out too) have made the modern travel experience very smooth but also very homogenous. Progress I guess. As another poster pointed out, it was even more interesting in the F27 days. The old NM schedules also had some interesting routings, although AKL-ROT-MON-ZQN must have taken most of the day in an HS748. The one flight I have always regretted not making the effort to catch was the DUD-ALR-ZQN flight that Mount Cook used to operate with the BN2A. It would have been a great experience.