Vox Mentis

First things first, you've got places to be (according to your cover story) and risk attracting suspicion if you're lurking around the airport for too long chatting people up. Where did you say the funeral was, and in what time frame?

Search the wallet, find out how much cash you've got and whether the owner is an Australian, providing you with a suite of ID and realistic-sounding locations and people to be catching up with. If there's a substantial amount of foreign currency, go get it exchanged.

If there's a credit card and the name on it won't immediately ring alarm bells, go find a kiosk that can book you a nearby hotel. Maybe hit up an internet kiosk (or if that requires coins you don't have then "borrow" some sucker's phone/laptop), which would let you quickly know that Broken Hill is a 2.5 hour flight or a 13 hour series of hitch-hikes.

The flight gives you a decent chance at "connecting" with someone who's a local and a workable set, who can put you up and down the track act as a sponsor in the event you want to pre-empt Immigration coming knocking. The hitch-hiking leaves less of a paper trail, gives you a bigger range of stuff you can get your hands on, and (if you don't have funds) saves you having to figure out how to buy a plane ticket.

Your choice.