Firstly I'd aim you at 2 sites:
www.awm.gov.au
www.australianflyingcorps.org
The Australian War Memorial (AWM) has PDFs of Red Cross records for many Australian servicemen.
Go to the site, Select "Biographical Databases", Select "Red Cross Wounded and Missing", Enter your man's name in the Search field and send. *If your interested enter "Flying Corps" into the Unit field and get the majority of the AFC's losses.
Both Eddie and Barry have files listed there.
Cam's AFC Website has an Honour Role of all AFC men lost in WW1. *It's a good place to start.
Eddie's loss is one of the interesting stories. He *was a casualty in the single biggest loss in the Squadron's WW1 operations.
A patrol led by Trescowthick with Eddie, Lockley, Taplin and Carter was bounced by about 15 D.VIIs (IIRC) and only Trescowthick made it back. *Taplin was shot down wounded and made PoW. *Eddie, Lockley and Carter were all shot down and killed.
I have attached a screen shot of the most relevant PDF of Eddie's loss. It's not too clear but Eddie was shot down near Douai. (I had to reduce the quality to make it fit here)