Yes the Argentine Armed Forces had more than 5 Exocets. They only had 5 air launched versions. Surface launched Exocets were set up near Stanley.
The French technicians in Argentina gave little or no asistance to the Argentine Navy, in order to disrupt the preparations to make them operational.
The 5 air launched Exocets were shipped to Argentina (yes on a ship) within days of the invasion of the Falklands.
Ciarain.