Finish. (Dings, gouges, cracks, splits - although vertical splits in fiberglass are not nearly as critical as horizontal cracks/splits - stay away from horizontal splits). Beat up can mean neglected.
Limb twist, although some limb twist can be corrected. Look for it, but it ain't a deal breaker.
Limb tips and string grooves. Look for damage and lamination separation.
Ask how it's been stored. Inside and dry is good. Hot attic not so good.
Search several ways with key words - recurve, arrows, bow (you'll get lots of hairbow hits), Bear, Grizzly, and so on.
What part of Florida are you in?