ant problem can be solved by a product called "tangle foot". the ants get stuck on it and they can't got to the figs.
as to the large eye on the figs, cut down on the water. i have a fig that i truly enjoy. but it has good size eye. when it rains, any fig that was swelling or ripening at that time will open its eye even bigger. big enough for any flying insects to get into. but when the weather cooperates and rain is reasonable, even with watering once a day, it will produce amazing fig.