Things to do off the Point...

 New Bedford Whaling Museum
 Lloyd Center
 Battleship Cove
 Beetle Cat Shop visit
Cuttyhunk Island
Cuttyhunk Fishing Club
Davoll's at Russell's Mills
Penikese School (aka Bad Boy Island)
New Bedford Aquarium
Newport Mansions
Plymouth Plantations
Hot Air Balloon Rides
Pawtucket Redsox Baseball
Go to Friendly Pizza for dinner
Hire Joe LeClair to take you fishing
Go to Salvador's for ice cream

Some of the above is best suited for rainy days.