Ok now, about the airport-

It is about 5 miles outside the "city." Also within about 10 mintes of the airport is beautiful Sacket's Harbor. However, there is nothing around the airport for a couple miles.

Hotels-

Best hotel IMO is the Best Western(?) in downtown Watertown. Right across from the library, the state office building, and public square. About a 10-minute ride from the airport. If you are here for a day or two your best bet is to rent a car and drive down to Syracuse. Lots more hotel options there.