It is 1170 miles (Approx.). Note that this is a straight distance between the two places. The actual distance may vary according to the flight path or road/sea route chosen.
Yes, you can fly from Melbourne to Uluru (Ayer's Rock). The closest airport is Connellan Airport which is around 50km away. The closest major airport is in Alice Springs. You may need to fly to Alice Springs before flying to Connellan Airport.
1 hour and 15 minutes on Qantas airlines
it usually takes about 2-3 hours depending on the wheather.
It takes 3 hours to fly from Melbourne to Christchurch
Alice Springs has an airport though not an international one, at least it wasn't when I was last there. You can get flights from any major Australian airport
3 hours
22 hours
About 5 hours.
Just over an hour.
8h
21h 35m
19 hours