Anyone with a drivers licence issued before 1997 does not need to do further trailer training with a driving instructor. Licences issued after 1997, are authorised to tow trailers upto and including 750KGS, anything greater requires training with an approved instructor.
With regards to the Carriage of Dangerous Good by Road, even a 1000LTR bowser requires someone in the vehicle (doesn't have to be the driver) to hold a valid Dangerous Good Licence for Flammable Liquids (class 3). I would suggest you don't drive without one, I have been stopped a few times and been questioned about the fuel bowser and its contents.
TiP