I think if you're having these types of issues...using the main chess.com website (without the facebook plugin) would be your best option.
However...if you are still having issues then I would encourage that you open up a separate tab for music so that when you go to change your music the entire facebook page does not reload.
If you want to open a new tab on your browser, simply press Ctrl + T and this will take care of it!
I use facebook to play this chess game here in chess.com. And I'm in an intense game and I'm winning. Well, my youtube song is over, so I go back changing the songs, then when I come back to chess, facebook takes me to some app center, and I'm like what??!! What happened to my game, so I click back, and it work, it went back to my game. But now, when I click back, it doesn't, it just goes back to the play area, and when I check my match history the game I'm in is not there, so I'm trying to get back to the game, but i can't find it. So I try to start a new game, so it starts a new game, and when I check my match history, it says I lost that game. What??? Please tell me how to get back to the game I'm on, because I keep losing when I was going to win, and it's getting frustrating.