From the info I gathered online, these airlines use Terminal 1 at JFK:

Air France, Air China, Air New Zealand, Air Serbia, Air Senegal, Asiana Airlines, Austrian Airlines, Azores Airlines, Brussels Airlines, Cayman Airlines, China Eastern, EgyptAir, EVA Air, Flair Airlines, ITA Airlines, Japan Airlines, Korean Air, Lufthansa, Neos, Norse Atlantic Airways, Philippine Airlines, Royal Jordanian, Saudia, SWISS, TAP Portugal, Turkish Airlines, VivaAerobus, Volaris

Any of these are your airline I would call ahead.