Congrats! Flash is more versitle than most people realize, and one of the main reasons I truly love the program.
Unlike most other languages and programs if you can think it, Flash can usually do it. Althought it might not always be pretty, it will work. I have found this out time and again.
Flash player, to answer your question, is usually associated with .swf files, where shockwave is reserved for DCR files.
Of course this will depend on your type of application, how you embed, and how much of that is truly Flash, or stand alone. :D