As someone who's placing music on the web for people to hear, I assume you want to reach the most people possible.  That means I would recommend against using Flash.

I don't know how much traffic your site gets, or with what browsers.  However HTML 5 / JS with Audio API may be a better bet then trying to update a plug-in fewer and fewer devices can use (Flash isn't supported on iDevices, Android, Firefox OS, Chrome OS, etc).

This would require you to upgrade your HTML Markup (but it's due for an update to current standards anyway).

I don't see any tracking related JS in your markup, but if you had some, and thus knew what your visitors needed, I could make better recommendations.

-Fenier