Scott is correct. My wife and I got our passports though because its handy to have, lasts for 10 years, and is much more convenient to carry.
I've been to San Juan and ST. Thomas.
In San Juan, I recommend the Bacardi tour (great discounts on bottles and free drinks at the end), and if you have time, the fort. Very awesome.
In St. Thomas, we just went shopping, but have your camera ready when you get off the ship. The "taxi's" over there are unregulated by the Government and we were told that is one of the most lucrative careers on the Island. They are all brand new trucks, pimped out with NICE paint and nice wheels, converted to surry topped taxi's. They really aren't that expensive but the drivers are usually very funny and pretty crazy drivers.