Australia screwed up the vaccination strategy. They bought AstraZeneca and relied on a domestic vaccine that was being developed which failed in trials.
Then the AZ side effects became an issue and there was no backup plan.
But even the AZ rollout was a debacle with no one sure if they were eligible or how to get it. And the Prime Minster excusing it all by saying "it's not a race".
If Australia had the vaccination rate of the US or the UK (which was absolutely achievable) then Australia would still be the envy of the world.