At Lucas Heights we were admitted into the nuclear reactor itself. There were no glass partitions. We stood alongside those working on the reactor core. There were chalk marks on the floor which indicated in very clear letters "Possible Contamination". There was no daylight and to enter we had to pass through at least two extremely thick (possibly 10 feet thick) reinforced concrete "firewalls".
Captain Cooks' landing place is not only close to an oil refinery but on Botany Bay itself which was named by Sir Joseph Banks for the beauty of it's flora. It is "on the other side" of Sydney Harbour. it's possible to see the entire landscape of Sydney from the tallest buildings in the CBD - looking out over Botany Bay and the Harbour and out to the Blue Mountains and into the extensive areas of "bush" which surround Sydney.
For "landmarks" in Melbourne (where I lived for a while) - Old Melbourne Gaol (where Ned Kelly was executed), Fitzroy Gardens, Captain Cook's Cottage, St. Kilda Beach, St. Kilda Road, Port Melbourne and the walk from St. Kilda Beach to Port Melbourne which was very bracing come to mind. I don't believe the towers of which you speak were built at any time I was there.
In Adelaide there is Adelaide Casino which was converted into a Casino from the Adelaide railway station and is possibly one of the "nicest to visit" casinos I have been to. Sydney casino is absolutely ghastly.
Rotnest Island which I listed is an island off Perth and is one of the most scenic and natural places I have ever visited. It was first visited by the Dutch who named it after the "rats" (not truly rats) which populate the island. I cycled around the island and the "rats" were in no way frightened of the human presence. http://www.australianexplorer.com/rottnest_island.htm
(note that the Dutch were exploring Australia long before Captain Cook)
Adelaide is also famous for Glenelg Beach and the tram which runs from Adelaide CBD into Glenelg.
There are many many places in Australia worth visiting. It can be a very pleasant country. Also on the list is Katherine Gorge in the Northern Territory and "The Olgas" in the NT which are a fascinating rock formation not far from Ayer's Rock.
I never visited or even know where "Hanging Rock" may be. This is a place where a fictional event was turned into one of Australia's most successful feature films - "Picnic at Hanging Rock". I believe that is in Victoria and possibly not far from Melbourne.
The barren landscapes outside the "bush" be they desert or just flat plains have a spirituality that I never felt in the region of the Mojave Desert in the United States or on the outskirts of the Sahara Desert in North Africa. The trees are unique and each tree is considered by the aboriginal people to have spiritual connotations associated with ancestors.
There are or have been some fascinating railway journeys - one rickety old train just outside Cairns and the infamous "Ghan" railway which still appears to be functional (although I thought it had been discontinued). http://www.gsr.com.au/our-trains/the-ghan/the-journey.php
Port Arthur I also listed is a place in what is now known as "Tasmania" (after Sir Abel Tasman) but was long known as Van Diemen's Land which was one of the most hated words in a convict's vocubulary. Port Arther is eerie. There is an island just off the convict colony where they buried the convicts who were mistreated to the point of considerable cruelty. It is known as the "Island of the Dead" or something similar.
I had to leave Port Arthur as there were considerable "vibrations" which compelled me to leave. I felt considerable spiritual presences in Van Diemen's Land. http://en.wikipedia.org/wiki/Van_Diemen
There is a marvelous "mountain" just outside Hobart which was climbed by Charles Darwin on one of his quests for the truth of human evolution.