While the profile is similar to the Australian club in the drawing, the 3D shape doesn't look very Australian to me.
From the caption in Partington, club #3 looks like a boomerang-club to me, a flattened club that can be thrown as a boomerang (non-returning, of course). These are often called "lil-lil", and that should find some examples when used as a search term.
One from the British Museum:
http://www.britishmuseum.org/researc...13469&partId=1 (photos attached).
There are Australian sword-clubs with long round handles, but the caption "used as swords and as missiles" suggests to me it isn't one of these. One example of a long-handled sword-club:
https://australianmuseum.net.au/image/e076955-club