Hi,
welcome to New Zealand.
You can take your contract to the Citizens Advise Bureau or to a lawyer to have it checked.
Citizens Advise Bureau and Employment NZ have got excellent websites - well worth checking.

As a contractor, you are self-employed. I am not sure how this works, but do you have a visum to permit this?

Secondy, like pay, the hours and termination clause depend on your contract negotiations. Hours can vary from 'casual' to a regular day. Notice period can vary from 2 weeks to three months.

Good luck,
Fyzzio