Sorry about that,
Hope this helps.
There are two operators up this way one with metros and the other with 1900's seeing as you have the 1900 Falcons the best bet, The only way to get your licence over here is through your employer so they take care of that when you get hired, it's a straight forward conversion exam but you can fly on your australian for up to 3 months via a validation.
Getting employed is the big step but be persistant and if you can come up and meet the FOM would help a hole heap, put a face to the name so to speek.
the company is all expats so thats a help unlike DHL with the metros.
From what I hear they have quite a few people on their books but have employed quite a few in the last few months.
They are a good operation and the lads do around 80 hours a month most of it night.
Get in touch with the FOM +971 4 2826886
and good luck.