If it's LW's media player that is causing the skipping then change to another player. If LW is busy the player can suffer; it gets low cpu priority.
Try playing the songs in your regular player. If the songs play ok then you can change from LW's player to the other. Go to LW's menu bar, Tools > Options > Player & disable LW's menida player. Not sure if you need to restart LW, you used to have to but they may have changed it.
If your other player also skips lets us know.
Edit: Oops I am slow .. follow 6_pac's advice.