[X] Fly out across the ocean and go looking for some seafood. You and Jun-ho working together you could probably get something nice and big to share or something. And hey, he apparently likes the water anyway.
[X] Go into Söfnun as mortals and have dinner together. There's a much wider variety of cuisine on display and thus a much greater chance of Jun-ho liking whatever it is you settle on - but it might come off more romantic and you don't know how you'll handle that. Probably badly.