Yes, Lake Eyre is the largest most of the time, but nowhere near the deepest (it actually dries up during droughts) so that's a big mistake to call it the deepest!
As for Darwin, it is fair to have that as the answer because it is by far the most famous for its bombings.
I appreciate Australian politics are hard to keep up with but it has been nearly 4 years since Malcolm Turnbull has been Prime Minister. Could you please update this to reflect the current Prime Minister, Anthony Albanese (preceded by Scott Morrison)
Scott Morrison is now Australia's PM.
Also many cities including Katherine and Townsville were bombed by Japan in WW2 although Darwin was the most famous, significant and deadliest attack.
As for Darwin, it is fair to have that as the answer because it is by far the most famous for its bombings.