The ABC is Australia’s most trusted source of news, so I don’t think its impartiality is substantively in question:
ABC, SBS lead most trusted news. | TV Tonight
The ABC is regularly served with formal complaints of political bias, mostly from politicians, although a large number of complaints are about other matters, and among the thousands of complaints they receive, relatively few are upheld complaints about political bias:
Upheld complaints | About the ABC
The comparable public record for the commercial press is the Press Council of Australia. Seems News Ltd has been busted a few times for telling porkies or not providing evidence-based substantiation for claims:
Adjudications and other outcomes - Australian Press Council
And for commercial radio and TV the relevant body is ACMA:
Complain about a program on TV or radio | ACMA
Although the record of adjudications seems MIA. ACMA is notoriously slow in making adjudications.
I know this is not on-topic, but when people post a claim here it should be permitted to provide an evidence-based rebuttal. I will say no more and let the above speak for itself. Let’s get back to Tesla!