Movie theater, restaurants, boutiques and salons all within walking distance, or use the hotel shuttle to get there. The hotel also has an Aveda Spa if you are interested in being pampered.
Hang out at the beach after the Farewell Brunch and stay for New Year's Fireworks (free)! There are many other events you can attend of course, but Miami can get expensive.
You can't leave Florida without going on an Airboat ride.