Advice on traveling to Cancun Mexico

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Hubby and I just found a really good deal on airline tickets to Cancun. Like the last minute planners we are we are thinking about taking advantage of cheap airfare and having a belated honeymoon in Cancun. I don't know hardly anything about the different areas in Cancun so I need advice. Here is my line of questions for you all: Where are the areas to avoid? What are the can't miss places in Cancun? Should we rent a car or is public transportation good enough? We are thinking about staying in the Radisson in Downtown Cancun (we can get a room deeply discounted). Is downtown Cancun a good area to stay? Is downtown hip and happening or scary? I'm sure I'm missing some questions. These are just the ones at the top of my head right now. If you all have anything to add please do. Thanks!