Since none of them were on the scene yet in 1980, I would think not. But I would bet the house that Reagan could identify Arafat or Abu Nidal or even Ilich Ramirez Sanchez back then. Reagan was old school, not the new school ignoramuses we are stuck with these days.
Hamas did not exist at that time, but Hezbollah did. Also the PLO was big in the 80's. And yes, Reagan knew who all of the major players were.