New Zealand Law
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Normally when a visa has been refused you have to wait 5 years before you try again. You could apply for a visitors or a work visa but would face the same hurdles of the conviction.
You do have a right of appeal against the decision to the Immigration and Protection Tribunal at this link https://www.justice.govt.nz/tribunals/immigration/immigration-and-protection/
This will enable to get the decision reviewed, and you can do this from your home country. If the appeal is allowed then you could return