Your bow is fiberglass backed, and should shoot just fine. The only question is the type of string, which in the case of your bow should be dacron and not fast flight. Whether fast flight or dacron, string loses structural integrity with age, and should be replaced before the bow is shot if it is the original string. It never hurts to exercise a bow before shooting it, particularly if it has a dacron string, because drawing the bow without shooting it at increasing draw lengths 4-5 times will give a dacron string the pre-stretch it needs.