For Korea, Australia might be able to send over one infantry Brigade which would likely be 9 Brigade. It's current IRL strength is only about 35% but given 12 months it should be ready for action. I picked 9 Bde because it contains the southernmost units in the country and most acclimatised. Most other units train in the tropics while at least 12/40 Bn and 16 Field Battery know all about mountainous terrain and sub zero temps being drawn from Tasmania.
The heaviest armour is the 9 M113A1 MRVs (M113s with Scorpion turrets) although I'm tempted to add a troop of Leopard 1s.
9 Brigade
HQ 9 Brigade (Army Reserve)
3/9 Light Horse (South Australian Mounted Rifles) (APC) (M113) (Army Reserve)
M113 Regimental HQ Troop (M577)
Sabre squadron, A (M113AS4 x14)
Sabre squadron, B (M113AS4 x14)
Combat Support Squadron (M113A1 MRV x9, M113AS4 x3)
6/13 Field Regiment (Army Reserve)
16 Field Battery (M2A2 105mm howitzer x6, Unimog 1700L LWB x6)
48 Field Battery (M2A2 105mm howitzer x6, Unimog 1700L LWB x6)
3 Field Squadron (Combat Engineers) (Army Reserve)
144 Signal Squadron (9 Command Support Regiment) (Army Reserve)
10/27 Battalion, The Royal South Australian Regiment (Army Reserve)
12/40 Battalion, The Royal Tasmanian Regiment (Army Reserve)
A Company
B Company
C (Training) Company
Support CompanyMortar platoon (F2 81mm Mortar x4)
Heavy Weapons platoon (M60 SFMG x 6, M2 Carl Gustav x6
Assault Pioneer Platoon (weapons as per rifle platoon plus specialist equipment)
9 Combat Service Support Battalion (Army Reserve)
Transport Company
Health Company
Supply Company
Maintenance Company
Logistic Support Company
Still working on the orbat, but enough to get an idea of capabilities I think.
The rest of the Australian forces (besides a handful of naval assets) would be fully engaged against Indonesia or occupied in civil duties.