You could take it to a reputable coin dealer or advertise it on eBay.
No.
Such a banknote does not exist. The Australian One Hundred Dollar note was first issued in 1984.
I think not, whoever she is.
Enid Lyons has never appeared on an Australian banknote.
All years of issues of the Australian Two Dollar coin are still potentially in circulationso, unless they are part of a Proof or Uncirculated mint set or are individual Proof or Uncirculated coins and in absolute mint condition, they are worth Two Dollars.
The Australian Fifty and One Hundred Pound notes were withdrawn from circulation in 1945.
No. Captain Cook has yet to make an appearance on any Australian banknote.
There is no documented evidence that anybody has found an Australian Five Dollar note without the signatures. Assuming that your Five Dollar note is a legitimate Australian Legal Tender banknote and it also includes the Legal Tender declaration and a serial number, it would be very rare. Any such banknote should not have got past the quality control at Note Printing Australia.
There has only been one Australian banknote that had the same faces on it for over 20 years and featured a "her". The original paper Australian Five Dollar note released between 1967 and 1991, had Sir Joseph Banks (Botanist) on the front, and Caroline Chisholm (Philanthropist) on the back.
Australia has never produced a 15 (anything) coin or banknote.
"Uncirculated" simply means "never been spent and in change" so if you have a new coin or bill (banknote) from the bank or a cash machine, it's considered to be uncirculated. As soon as it's spent at a store or put in a vending machine it's been in circulation. Of course if you have to prove that an item is uncirculated, that's more difficult. There are companies that get coins and bills directly from banks and resell them, and both the Mint (coins) and BEP (bills) will sell you uncirculated examples of their products. Then you know they're truly never circulated, but you'll have to pay extra for that assurance.
Edmund Barton has not appeared on any Australian banknote to date. The only politician to have ever graced an Australian banknote was Sir Henry Parkes on the 2001 Centenary of Federation Five Dollar note, he being one of the major motivational forces leading to the Federation of Australia.