Early Father's Day Dinner Near the Pavillion Movie Theater...?
May be too late getting to this, but for something a little more elegant on Father's Day I'd choose 12th Street Bar and Grill over any of the above. The food is very good, if not terribly unexpected, french/american, but it's a wonderful, comfortable space, very attentive but low-key service, and somehow I feel like white linen tablecloths and a well-made cocktail should win out on Father's Day over something less formal.
That said, I have nothing but good things to say about Fonda, Beer Table and Brook-vin. Well, one thing: Beer Table doesn't have a full dinner menu, so I'd check out their menu online first to make sure it's what you're looking for.
427 7th Ave, Brooklyn, NY 11215