I don't fully understand what's going on with this website; you can download
the songs, but you aren't able to preview them? It wouldn't be that hard for
them to support playing the previews with HTML5.
One thing you should always check in a situation like this: disable Gnash
(and Lightspark). Some sites only show HTML5 elements as fallbacks when Flash
is unavailable. You can also try using the user agent switcher to identify as
an iPad.
For Java, you might want to try using OpenJDK 7 rather than OpenJDK 6.