Exactly Pilat.
There are an extensive list of occurrences to report that can be found in the Qantas manuals.
After all Jet Connect looks like Qantas, so one would expect there to be similar equivalency in their operations to that of their big "brother".
ie _if it was reportable, the Qantas Safety Department would be involved.
Wake turbulence ,severe windshear, and aircraft control problems ,including aircraft handling difficulties, excessive pitch attitude, aircraft trim problems, uncommanded roll, or commanded turn, to name but a few from the list of reportable items.
The ASIR is a Company reporting form used to report safety related hazards, occurrences, incidents and or accidents.
Not to be confused with the ATSB Warren.
If however the occurrence was judged to be warranted, they, the ATSB would be involved at some stage ,in conjunction with the NZCAA, seeing as the "event " occurred in Australian airspace.