from what I understand for IHNA requirements if you were vaccinated with the said diseases all you have to do is the serology test on that specific vaccine to find out if your positive or negative. If positive antibodies then no need to have it again. Then the rest are mandatory for influenza, meningococemia, mrsa, booster for DPT. All the result can send to their email .
Anyway did you recieve your confirmation of admission from them or are you done with initial payment of the 1,500aud$?