I think your degree name should match with NZQA degree name. Lets other too comments on this point. If it doesn't match then INZ will tell you to do IQA assessment.
I think its better to do IQA if you have any confusion over your education. PAR assessment and IQA assessment may varies because in IQA you send your degree certificates to NZQA for assessment and in PAR you just mention you course name and duration and based on that they do the assessment so result of PAR and IQA varies most of the times.