If you intend this to be an Australian resident company I believe that the majority of shares must be held by Australian citizens ( or perhaps residents). That could create some control issues for you. There will be tax issues to consider if the company is a NZ tax resident company.
I am not sure if you can juggle the voting rights to get around this.

You might consider who has control over operating any bank accounts.
Expert advice on this should not cost very much as it is not complex