Well, I don't know the specific hotel you are talking about but I looked it up. It's right on the beach, obviously. All of the beaches there are free. When we go to Ft. Lauderdale we usually go to the beach at the end of Las Olas Boulevard. A few blocks down from Las Olas on the beach is Beachplace Towers. In there are many restaurants, bars and shops.
At the end of Las Olas is the Riverfront. This is a lot of fun when you are under 21, but I think there is a a river cruise that leaves from there that looked like fun, but it rained a lot when we were there, so we weren't able to do it.
In the Riverfront is more shops and restaurants. The Ugly Tuna Saloona has GREAT seafood and is a great restaurant (plus my friend works there, so I'm quite partial to it).
There is also a huge mall in Ft. Lauderdale. It is called the Galleria and has great shops like Saks 5th Ave and Nieman Marcus.
There are many taxi services in town and we used them all vacation. They are not expensive and we always felt safe. The number is 777-7777 or 333-3333.
Hope this helps, if you have any more questions, I'll try to answer them

.