novicef. Lefty is right on the money.
To further answer your other original reference to the CAOs query, try looking at CARs 5.14-5.21 (and so on), CAR217 (for the requirement to have a check and training organisation in certain circumstances), as well as CAO40.0/40.2.1 etc for the GPS and instrument stuff. This list is not exhaustive, however stipulates what a check and/or trainer may carry-out under what delegation etc.
CASA approves C+T pilots with certain delegations and these are usually (most always) only valid while that person works for a certain operator.
Regards,
OpsN.