The Ministry of Commerce, Industry and Labour raised concerns following family members' complaints and posts on social media.
The ministry's chief executive, Pulotu Chu Ling, told Talamua Online his office had investigated the complaints it had received.
While there were still minor problems, it was now manageable, Pulotu said.
The ministry relays concerns to the liaison officer for the seasonal worker scheme on the ground in New Zealand, he said.
People picked for the scheme have been warned they can lose the chance to work on the scheme again, and face the possibility of being penalised by their villages, he said.