Silver Fern is only for people from outside NZ.
You need to make friends with the INZ website. You would have various possibilities, I think, assuming graduation, registration, and depending on how quickly you could get a job offer, and we'd need a crystal ball to know exactly what your situation will be, x years down the line, at the end of your course, but these different routes are always there, headlined, for you to check back with to see how much you're in line with the regulations (which, beware, can change from time to time, so keep checking). Have a look at the possibilities of the Graduate Job Search, or the Graduate Work Experience, visas.
http://www.immigration.govt.nz/migra...udyandwork.htm (The Graduate JSV can be useful for anyone who doesn't get a job offer immediately.) Then there are WTR and SMC.
http://www.immigration.govt.nz/migra...k/workperm.htm And the various temporary work visas.
http://www.immigration.govt.nz/migra.../requirements/
Would I be right in thinking, from something you've posted elsewhere, that, while all this is going on, your parents are still going for Residence? If they get it, will that include you?