1. Yes.
2. You have to TELL INZ that you have married, but you can't include your new wife in your application for Residence. She doesn't qualify as your partner yet.
3. No. Getting a visa for your partner is a separate issue.
Latest INZ directive about getting a visa for a partner who is abroad and doesn't yet have much/any partership evidence.
https://www.immigration.govt.nz/docu...lationship.pdf The visa she will probably need to apply for (because you haven't got residence yet - you're still a worker) alongside asking to be considered for a visitor visa.
https://www.immigration.govt.nz/new-...k-visa-holders