QF form is for flying on QF, Australia form is for entry to Australia. So likely you'll need both.

If you are fully recovered then RAT should be negative (assuming not re-infected), whereas PCR may continue to show positive for some weeks or months after recovery. If the test is negative you won't need the medical clearance (GP certificate plus whatever forms are required). IIRC Qantas requires early submission for exemptions so you can't leave it until a day or so before flight (when you normally do the pre-departure test).

Note travel requirements are constantly changing, so keep monitoring these.