Today Canada has JTF1 in a similar role, but I don't know what it' antecedent unit or older name would have been in '82, off-hand. I have a cousin whose a Major in the Canadian Forces I could ask, but I likely won't see him, given his schedule, 'till around Christmas time.
Corrections and Canadian Special Forces:
Alright the quick and dirty as it relates to Canadian Special Forces:
WW2:
1st Special Service Force (Devil's Brigade) CANAM Formation
RCN Beach Commandos (W Commando)
Cold War:
Canadian Special Air Service Company (Short life span)
Canadian Airborne Regiment (Quasi-Commando)
The Special Service Force (Quasi-Special Force meant to reinforce Canadian Commitment to NORTHAG)
Post Cold War:
Canadian Airborne Regiment(Disbanded in '95)
Joint Task Force 1 (Initially designated for Gulf War, no known action or formation)
Joint Task Force 2 (Counter-Terrorism and Special Forces)
Canadian Special Operations Regiment (Similar to Britain's Special Recon Regiment)
427 Special Operations Aviation Squadron
Quasi-Special Forces
Canadian Joint Incident Response Unit (NBCD or CBRNE for you younger folk)
Enhanced Naval Boarding Party(Maritime Tactical Operator)
Reconnaissance Qualification (Army)
Note:
JTF-2 was initially formed to take over from the Royal Canadian Mounted Police's Special Emergency Response Team