Mopeds Cozumel

Taking the ferry from Playa del Carmen to Cozumel?
Going to Playa del Carmen in Oct. We want to take the ferry over to Cozumel. Once we get there what should we do. We’re not snorkeler’s. We love hanging out the beach w/ some drinks. What is there to see? And I read about Passion Island but they only let the cruise ship people go there ???? What about renting mopeds???
I hope these few links help I dont no where you read about Passion Island so here is a third link.
http://en.wikipedia.org/wiki/cozumel
http://exploracozumelrentals.com/index.htm
http://www.cozumel-tours.com/passion-island-cozumel.htm
With all due respect to the answer about Tulum? It is inland and has no “Killer Beach”
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Mopeds in Cozumel, Mexico.