Fair bit of misinformation floating about here.
Brett can't be re-tried for the same offence, he's been acquitted, that is a very basic principle of our criminal system.
There is a provision for a fresh trial in certain circumstances but limited to offences more serious than what Brett was charged with.
This case is finished.
(Also, on all the proposals to recover costs etc, zero chance based on everything I've seen reported. He can sell his story, that's about it.)