Question one is a gray area and the most important.
Is Jetstar truly autonomous? Consider the announcement of the 787. Who announced they were buying them? Qantas management.
Who decides to which airline they are going? Qantas management.
Who did Boeing deal with when they bought the aircraft? Qantas management.
Did Boeing give Qantas the Qantas price or the Jetstar price? Most probably the Qantas price?
Does Jetstar get the Qantas price for fuel or the Jetstar price for fuel? Answer, the Qantas price.
Jetstar doesn't scratch itself without referring to Qantas senior management with regard to routes flown. Jetstar is not like a OneWorld airline like Cathay or BA where they compete on the same routes. Part of Jetstars charter is that it never competes directly with Qantas.
Doesn't sound like an autonomous company to me.