The places you mention to go to after the cruise are not walking distance. Things to do right near Times Square are King Tut exhibit, Wax Museum, many places to eat, stores for souvenirs and Broadway stuff, and specialty stores, like M&M's, Hershey's, and the latest, a Pop Tart store. Also you can take a bus tour from there, hop-on-hop-off, and there may be briefer tours.
It might be a good time to go to Chelsea Market, not far away, 14th and 10th Ave, where there are more upscale lunch places and the High Line to visit. Or lower Manhattan, 9/11 Museum, and I will check on St. Pauls (I'll be down there for union meeting the day before you arrive). There are many places to eat, and it's near China Town, which I will check on how to reach. Tenement Museum is on the East Side, F train, have to check on access and times there.