I have more clarifications: I would apply for the IQA before applying the EOI.
Yes. (It's not worth getting a PAR, although the EOI says you can put a PAR result on the form, because you'd still have to have the IQA done once your EOI is selected, before putting in the ITA.)
The job
title you currently have, and have had in the past, doesn't matter. (After all, an employer can call a job anything he feels like, and it doesn't have to match up to anything, or be descriptive at all - e.g. 'Room 12 supervisor', or 'assistant to Mr Brown'.) Therefore, it's the job
descriptions, giving the range of skills used, responsibilities taken and qualifications required for each employment, which will be taken into consideration by NZQA.