It is possible to POUG Corp TA tickets, but the TA needs to allow BA to do it. It’s rarely done but manageable. Corporate policies are usually the blocker here.
Read up on the ‘working time directive’. 100% of your travel time is working, including messing around in and to/from airports. If you are over two years in your job you can insist on being paid for travel — and the TOIL for a trip to Australia will be huge.
IANAL