Charges of making and using a false document are distinct and punishment on both is not double jeopardy: R v Frugniet  VSCA 59 [at 90]. (Hat-tip to the anonymous contributor from the Double Jeopardy post for pointing that out.)
A common misconception concerns when a document is properly considered false. The offences created at s 83A were called forgery prior to 1988. Typical examples include fake bank notes, bogus identity papers, dodgy transactables, and the like. A document that merely has false information on it (eg. a loan application where the applicant has deliberately overstated their earnings, etc.) may be the subject of a charge under s 81 or 82 of the Crimes Act but it's not a false document.
Winneke P in R v Ceylan  VSCA 53 [in 4]:
The sub-sections of s.83A of the Crimes Act are not easy to construe or apply and require close attention to detail in the manner of presentation of charges alleging offences against them. The essence of the crime of "making a false document" contrary to s.83A(1) is not simply that the document is false in the sense that it contains material untruths about past facts; rather its essence is to be found in the fact that the document "tells a lie about itself" in the sense that it purports to be something which it is not (that is, not "an authentic document"). Thus, the gravamen of the offence is to be found in sub-s.(6) which sets out the various ways in which a document can be "made false" for the purposes of the offence, and which marks the offence out from related offences such as "false accounting" (s.83) and "obtaining financial advantage by deception"(s.82).
Giving a document the appearance of having been created or added to by one person when this was done by another person can 'lie about the nature of a document'. In the case of a will, contract or similar document this would probably fall within the ambit of s 83A.
The identity crime provisions that came in last year duplicate and expand existing forgery offences. They are found at Division 2AA of the Crimes Act (between ss 192A and 192E) and significantly overlap with s 83A.