Under these new rules, nobody can operate a drone or model aircraft without getting the prior consent of the owner over which property it is intended to fly — and (this is the kicker) also the permission of the occupiers of that property. So you can effectively forget about flying down at the local park, at scenic locations or just about any public place. Even if you could manage to get the prior permission of the land-owner, because we're talking "public place," you'd also have to get the permission of anyone and everyone who was also in the area where you intended to fly.
Other countries have produced far more sane regulations — such as limiting drone and RC model operators to flying no closer than 30m from people or buildings — but New Zealand's CAA have gone right over the top and imposed what amounts to a virtual death-sentence on a hobby that has provided endless, safe fun for people of all ages for more than 50 years. Of course if you are prepared to pay a $600 fee to become "Certified" by CAA then the restrictions on where you can fly are lifted and you don't need those permissions.