Greetings again Charley,
Some things to see in Melbourne itself (as you're driving around) include the very northern end of Swanston St (the main drag through the centre of Melbourne); there's a traffic island where it meets the road south of the cemetery that has a pair of beautiful eucalypts in the middle. I forget the species but they have a lovely lemon-coloured gum bark without a single piece of graffiti (the last time I looked); you don't need to stop but just catch them as you drive by. It's a pity you won't be in Melbourne for the Saturday morning, when the Queen Vic market (northern end of the city part of Elizabeth St) is in full swing; a cultural event.

If your interests extend to things 'political' (in the 'historical background' sense) you could visit the Law Quadrangle at Melbourne Uni (in the same general area as both the above) to see the building that was the centre of the struggle for the Eight Hour Day in 1856 (see Thread #104204 on "Bring out the banners", one of John Warner's songs). You could also visit the Alma Doepel in Port Melbourne; it is a restored ship that was built near Bellingen a few hours from Armidale and similar to the James Craig in some respects. I sang the odd shanty there during the restoration.

If you head south down Swanston St across the Yarra you'll end up in St Kilda Rd and driving past the Shrine of Remembrance, a monument built after WWI (on your left) and the National Gallery of Victoria (on your right); the latter has a stained glass ceiling by Leonard French that is one of the largest stained glass windows in the world. You'll also have driven past Federation Square but that postdates my Melbourne days.

Cheers, Rowan