Four targets: Two are Wellington and Auckland, I'm guessing, but I'm drawing a blank on the other two.
Probably the other two targets may be among the largest of NZ's military bases, such as:
Devonport Naval Base (right across the water from Auckland CBD)
Papakura Military Camp (about 26 km SE of Auckland - home of the NZSAS, or the NZ Special Air Service)
Burnham Military Camp (NZ Army's largest base - 28 km S of Christchurch)
RNZAF Whenuapai (about 13 km NW of Auckland CBD)
RNZAF Ohakea (about 130 km N of Wellington)
I don't know how much the NZ military's changed since the end of the Cold War, or if it was a bit larger or not during the 1980s compared to today.
At least a couple of bases appear to be located in largely rural areas (e.g. Burnham Military Camp, RNZAF Ohakea), well enough away from any of NZ's three largest cities, so this may cut down on the number of casaualties. But still, there are some small towns that may be at risk of destruction and severe blast/burn injuries.
Other bases listed above are close enough to a major urban area and suburbs - really just one - Auckland, that there will be risk of large numbers of casualties that could easily the country's medical services. Same goes for the civilian airports in Auckland, Wellington and Christchurch. And that's even if only 100-kt warheads are used by the Soviets, as these are probably the smallest used on Soviet SLBMs in the 1980s.
Fallout is not a really big concern, unless groundbursts were involved. Still, there will be casualties suffering from radiation poisoning.
So I'm simply just sayin'. I look forward to whatever updates come of this story.