I live in Australia. I've flown from Sydney to LA (and back again) twice.
A few facts:
The trip takes 13 hours 45 minutes, either way.
The aircraft was a 747-400.
The distance from Sydney to LA is just over 12,000 km.
A 747-400 has a rated speed of 988 km/h. Allowing a bit of wiggle room, that allows for a 13-14 hour trip.
However, by your map, the aircraft has a somewhat greater distance to travel, and would have to exceed the speed of sound to make the trip.
The kicker? The 747-400 is not a supersonic aircraft. I'm interested in how this works, if the earth is not a globe.
Another good one:
Australia and New Zealand are close neighbours, geographically and politically speaking. The distance from Sydney to Auckland via global measurement is 2,155 km. This gets flown every day, and boats travel to and from on a regular basis. Why is it that they don't use more fuel than they've allotted for that distance? Again, I'm interested in how this works.
And then there's Antarctica. Because you're aware, are you not, that there are several scientific outposts on the continent? You weren't? Australia actually controls a large chunk of it. Interestingly enough, a friend of mine who used to be in the Army Reserve was actually posted there for a while. His stories of the place involve lots of ice, a crapload of penguins ... and oddly enough, no edge of the world.
Oh, and by the way, he's long since left the military. So there's zero chance he's still being paid to keep any secrets.
So how do you reconcile that with, well, any of what you're saying?
And finally:
Captain James Cook, who mapped the eastern coast of Australia (as well as a good chunk of the coast of New Zealand) with an accuracy that still holds good today, also sailed farther south to circumnavigate Antarctica. Which he did. To do so in your model would require travelling a distance of 60-80 thousand km, on a sailing ship that moves at maybe 10 km/h (just saying, they would've run out of food). Oh, and then he went from New Zealand to Tierra del Fuego in five weeks. With your map, how far is that and how fast would he have had to travel? Let's not forget: sailing ship.
One of the many flaws of the flat earth concept, and the most easily proven, is the lateral distance problem. The farther out you get from the north pole on a flat disk, the greater the distance between any two lines of longitude. The trouble is, the farther south you go from the Equator, the closer these lines get together. I cordially invite any believers to come to Australia, rent a car, check the odometer, then drive from Sydney to Perth along the Gunbarrel Highway. Take careful note of the distance, then compare it to what your map says it should be.
(Spoilers: it won't be that far).
Go ahead. I dare you.