To torin555, thank you for posing this question, for you and I are using the same base tutorial to create our games. I too am trying to find out how to make a projectile in this format. Where you use a life system I use a health bar. I found a few, though inconsistent, ways to attach a bullet(or a throwing star in your case) to the stage. Some of these allowed me to have the object solely on the stage and some directly where the character is.
I have played your game and have a question for you: It is possible to move objects via coding, is this what you did in the first level or did you make the movie clip itself move? In an older game of mine I used coding.
Please respond soon, we might as wel work together.