I do not make it to NYC as much as I would like. The last time being several years ago. There is so much to do with so much that is obvious it could take up your entire trip.

I will say, I would allow some time for the random. Just walking down different neighborhoods, there is just so much character. Also, you might find something totally unexpected that you just love. I am thinking of this French bistro that happened to be at the bottom of our hotel on my last visit with my wife. First time we ate there was out of convenience. Then next two times was because we just loved it.

New York is large and somewhat difficult to get around in, so a lot of this depends on what neighborhood you are going to be set up in. But a non-obvious thing I really enjoyed was walking the "High Line" which is a 1.5 mile rail-trail-elevated park with great views of the city. Also, unless there is a show that you specifically want to see, I've used "TKTS" in times square to buy day of tickets to broadway plays at steep discounts. Last time I did that was a decade ago, but looking online and it still seems to be a thing. Of course, there are lines, and nothing is guaranteed, so if you really want something, buy in advance. For photography, I have always wanted that famous shot from Brooklyn Bridge Park with all the wood columns rising out of the water and the NYC skyline in the background.

Other than that, I visit the usual/obvious locations. But, these are world class institutions, all depending on what your are into (if art at all--The Museum of Metropolitan Art).

As for photography kit, I'd go option 1: I tended to favor my general purpose zoom, but I always do. You will likely find a use for an UWA, but then the 35A, I am thinking you may get some impromptu portrait shots.