Places to eat:
Eagle Harbor Inn, Bear Belly, White House, Zik's, Michigan House
Brockway Mountain Drive is a must, otherwise the next best "mountains" are Mount Baldy, Bare Bluff, and Mount Houghton, however all are 2-6 mile round trips hiking. Depending on what you are driving you would be able to drive relatively close to a couple of the outlooks on the Cliff Range.
Aside from Jacobs Falls, a couple other easily accessible falls are Manganese Falls, Eagle River Falls, Haven Falls, and Silver River Falls. Fenner's Falls is also less than 0.1 miles from the road, but involves hiking down a fairly steep decline to get to it.
If its beach weather, Great Sand Bay and Bete Gris are very nice sand beaches, and in the case of Bete Gris some nice views of the topography if a clear day. Otherwise, Hunter's Point is a neat little beach with about a mile of hiking trails with views of both Lake Superior and the town on the other side of the harbor.
Estivant Pines is 2-3 miles of fairly flat hiking that provides a very neat experience of what much of the Keweenaw looked like pre-European settlement (and corresponding logging).
If interested in the history of the Copper Country, I highly recommend the Calumet Visitor Center. Three floors of very well put together, modern, and informative displays, which you can visit for free! The Delaware Mine is also nice, I really appreciate how authentic they try to make it.
Hope you both have a great time!