Australia travel tips

Hi everybody,

I'm off on a 20 days trip to Australia in October. I am going to spend
3 days in Sydney and I am trying to plan a 2-week itinerary.

What I was thinking about is: flying from Sydney to Alice Springs, see
Uluru, visit the Kakadu National Park and/or the Northern Peninsula
(Cape York) and spend some days diving in the northern part of the
reef.

Since the distances are huge I must choose what segments to drive and
what segments to fly based on the experience I will get -

Do you think Kakadu is more interesting than cape york or the
opposite?

Would you suggest to drive from Sydney to Alice and fly from there to
Darwin-Kakadu or viceversa? Is the panorama from Alice to Kakadu
interesting?

Or would you suggest driving from Alice to Cairns and the great
barrier?

Thanks

Alessandro