Yes you can keep pretty well anything non venomous in NSW with a class 2 non ven licence as long as you get papers with it. Obviously rsp's aren't on the class 1 list.
To get a class 2 non ven you need to have had your class 1 and actually have kept a reptile for I think two years. So a rsp as a first herp in NSW sounds pretty weird. Must be in another state I guess. Don't know exactly how that all works in other states though.