What turned the match in favor of New Zealand was the 7th wicket partnership of 261 runs between Bradley-John Watling and Mitchell Santner. That single partnership turned the course of the match in favor of the hosts.
It is a group sport and if two of the eleven members take the match away then it is a win situation and there was no one from England side to perform like that and hence they lost the match, if both the teams performed equally well then we would have seen a draw
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I am expecting an even contest during the Hamilton test. New Zealand may be having the home advantage, but without Trent Boult, their bowling looks weak. Boult is a much under-rated bowler, despite performing consistently over the years. No team is overly dependent on a single bowler as NZ is on Trent Boult, which is clear from the fact that he has missed just 6 matches out of the last 70 for New Zealand.
I think you missed the match, Trent Boult just took one wicket in the first innings and he was injured in the second innings and he had no part in the win in the last match, Southee, Neil Wagner and Mitchell Santner was the star performer in the last match with the ball and Watling and Santner performed with the bat.