Go to breakfast/brunch at Barney Greengrass. eta: also Liebman's Deli, Momofoku, Scar's Pizza, Peter Luger's
and all sorts of the smaller museums. Less hassle, more art experience, more quality time w your sweetie.
No problem, hit me up if you have any further questions. In terms of seafood, I get most of my aqua intake via japanese food. But, I went to Aquagrill once and it was pretty good. I generally try to find seafood places that have $1 happy hour oysters and load up. The northeast oysters are so much better than the gulf. I've never been to Peter Luger, only Keens. It was good, but IMO steaks in Texas are just as good and less pricey. But, PL is an iconic spot, so it's up to you (personally, I'd rather go to another legit Italian place since it's much better than what you can get in TX). Not really into jazz, so I can't help ya there. Williamsburg in BK is a standard place to visit. But I'd also suggest checking out Park Slope. Carroll Gardens has some great restaurants.
