I don't know if this will help but if you can't opt to get a program that will convert swf files to another filetype, there are some websites that do it for free and will send it to your e-mail. I use http://zamzar.com/ but that's pretty much my last option if I can't find a program that will do it for me. I convert to wmv, that seems to fix my problems with the play/stop issues (I get them too!).
