Jacob's got the right idea, are you trying to make this a live website? I know emo has his radio online and plays live rmaybe he'll chime in and give you some pointers. As for media players there are many ways you can go, you can use an embedded version of windows media player (code needs to be tweaked for zymic, you cant host mp3 here, you must host off site)
Windows Media Player
CODE
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<html>
<head>
<title>Music Player</title>
<style>
/*style your player here*/
</style>
</head>
<body>
<div id="musicplayer">
<OBJECT id="VIDEO" CLASSID="CLSID:6BF52A52-394A-11d3-B153-00C04F79FAA6" type="application/x-oleobject" width="320" height="240">
<PARAM NAME="URL" VALUE="nameofyoursong.mp3">
<PARAM NAME="enabled" VALUE="True">
<PARAM NAME="AutoStart" VALUE="False">
<PARAM name="PlayCount" value="1">
<PARAM name="Volume" value="50">
<PARAM NAME="balance" VALUE="0">
<PARAM NAME="Rate" VALUE="1.0">
<PARAM NAME="Mute" VALUE="False">
<PARAM NAME="fullScreen" VALUE="False">
<PARAM name="uiMode" value="full">
</OBJECT>
</div>
</body>
</html>
Also you can sign up on a webpage like
www.reverbnation.com and upload your music there, then you can get a media player with your playlist and use it on your site.
Flash is your other option, probably the best for wat your looking for.
Good luck,
Kevin