Ignore the sample DB, I am not sure what it is doing there, but in the next version of Auspost, I will remove it

The table 'arthq_store.zones", is that something you added?, because in my 3 shopping carts, that does not exsist. Have you used a table prefix "arthq" ?

Providing the php files are all in your "overides directories", then it should be as easy as admin/ modules/ shipping and then install the relevent modules.
Let me know how you go.

Gerard