If we believe Wikipedia (which we probably shouldn't), Suriname didn't compete in qualification that year. It says Suriname withdrew in 1983 (true) [...].
I couldn't find anything about Suriname participating in the qualification for 1986 or not.
It says "Presumably Mexico, Cuba, and Bermuda qualified based on their positions in the 1982 Juegos Centroamericanos y del Caribe."
However, according to the Daily Gleaner, 25 January 1983 (http://newspaperarchive.com/flashviewer/seofullviewer?img=14484629
), Cuba had drawn the Dominican Rep., the winner had to play Trinidad & Tobago who received a bye in the first qualification round. The winner of that match would qualify. However T&T were banned by their own Olympic Association because the T&T FA had withdrawn the football team from the CAC Games the summer before. (This fact is missing at http://rsssf.com/tablesc/cag82.html,
who replaced T&T?).