Muizenberg -
You can e-mail requests for specific things (such as trips, days off etc) through but there is no formal bidding system yet.
You can swap trips with other crew - a huge amount of swapping is occuring (we have a lot of commuters who especially swap to get trips in or out of their own cities).
SYD/NAN/SYD looks like it's a bit of an unpopular trip at the moment - mainly due to the fact we do have a lot of commuters and they can't do it as a day trip commuting (they need to stay in SYD the night before).
To give you an idea, the average roster for cabin crew would be 3 lots of 4 or 5 day trips (either LAX or HKT), 1 NAN and a string of call out type days.
Good luck