CAR 139 Documents to be carried in Australian aircraft
(1) Subject to subregulation (2), the pilot in command of an aircraft, when
flying, must carry on the aircraft:
(a) its certificate of registration;
(b) its certificate of airworthiness;
(c) unless CASA otherwise approves, its maintenance release and any other document approved for use as an alternative to the maintenance release for the purposes of a provision of these Regulations;
(d) unless CASA otherwise approves, the licences and medical certificates of the operating crew ;
(e) the flight manual (if any) for the aircraft ;
(f) any licence in force with respect to the radio equipment in the aircraft;
(g) if the aircraft is carrying passengers—a list of the names, places of embarkation and places of destination of the passengers;
(h) if the aircraft is carrying cargo—the bills of lading and manifests with respect to the cargo.
Penalty: 10 penalty units.
(2) An aircraft operating wholly within Australian Territory is not required, when flying, to carry a document specified in paragraph (1) (a), (b), (f) or (g).
These are the documents you are
required to carry. No mention is made of flight notifications. Don't forget, it is perfectly legal to fly without submitting a flight plan - and therefore you would not have a notification to actually carry.
(Your company Ops Manual may specify that you must carry your notification - ask your chief pilot)