Hey,
Although it is highly unlikely that you will be asked for your license, one thing that was pointed out to me by the gentleman running the VHF course when I got mine was that a VHF with DSC needs an MMSI number (basically a phone number for your VHF so you can be identified) for the function to work properly.
To get an MMSI number, you have to register your radio with ACMA who ask for a copy of your license when you apply for it.
Tim.