I think it is possibly time to look for another player. jplayer was last updated almost 4 years ago, and appears to have problems with current versions of jquery and some browsers.
I loved jplayer back in the day and thank the team for innovating and developing it. However, for the reasons above, I had to move on.
This first one is the only one I know of apart from AblePlayer to have a playlist option (plugin)
Good luck!