I am not trying to ruin your hopes, but rather point you toward the best solutions. Sales of Adobe Flash Catalyst software ended on April 23, 2012, so forgive me if I basically I try to keep you from using something that is not supported for almost 5 years. Beyond that, the product would never have met your needs for developing a game. It was designed for application UI development. You can certainly use Flash CS5 to develop your game, but I am afraid you will encounter issues when trying to publish as a mobile app or as a desktop app (Adobe AIR). Operating Systems have changes, app store requirements have changed. You are probably going to have more issues working with 5-year old solutions that you expect. But feel free to try...
Personally, I would look at Phaser or some other JavaScript game engines to build what you are talking about.
