You've provided a comma-separated list of multiple files, which apparently allows the Flash player to play several tracks in succession -- I didn't even know this was possible (!). It doesn't work with the HTML5 player used on Android and iOS.
As it's not an advertised feature of PlayPress, if you don't want to have a separate player for each track, I'd suggest using a different plugin. In fact, WordPress has a great built-in audio playlist feature now (on the post/page editing screen, choose Add Media > Create Audio Playlist) which is good and can work on mobile devices. The end result looks a bit like this: http://make.wordpress.org/core/files/2014/01/Screen-Shot-2014-01-29-at-3.06.07-PM.png