http://www.fintrac-canafe.gc.ca/msb-esm/records-documents/exch-eng.asp
On every foreign exchange record, of any amount, you have to include:
the date, amount and currency of the purchase or sale
the method, amount and currency of the payment made or received
if the transaction is made by an individual for $3,000 or more:
the individual's name, address and date of birth
3000ドル以上の場合は記録を残す必要があるということなので
免許証のコピーを取るのが一番手とり早いということでしょう
問題ないとおもいます