"the distances and flight paths would be way off for the Southern Hemisphere. Taking a tour of Australia with a compass or sextant should be enough to disprove that particular map"

It reads like you are imagining what the evidence is rather than what has been offered as evidence. What flight path for example? "he fact that the stars are different in Australia in a way that works fine on a globe" again, for example?

"try to explain the daily and yearly apparent motions of the Sun" Was it that those particular people were not knowledgeable or perhaps poor at explaining?

I've watched several videos where one claims to 'debunk' the whole idea of flat earth only to merely contain their set of beliefs, programming and unwillingness to investigate, all without any real science offered - just fervent belief in their belief.