We love the Sun so much we've been on it 3 times. Twice to Alaska and once to the Caribbean. Lucky you to be going to South America on her. As far as activities go, you have been well advised to check out the Freestyle Daily that will be given to you each day for what is going on, but from what we have observed, there are frequent activities by the pool (contests, bands, etc.) There are sports such as basketball going on quite a bit. In some of the lounges they offer lots of things -- from Wii games to napkin folding. The shows are quite good and I think there are also art auctions and Bingo, but they can be costly.
Have a wonderful time