Suggest you use a moon filter I you have one because the full moon, through a scope, is very bright and can actually leave you with a bad after image.
As to other objects, you going to be limited to high magnitude ones like omega centauri cluster, 47 Tuc, venus etc. The first two are in the south and venus is in the southwest near Antares. Being in Sydney, and its sky glow, you may struggle, especially if the fire smoke is blowing east. If you have a light polution filter that might help on the non-moon objects.
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