So, the right cable is snug and is fine, and I guess the left socket (the one that fell off) didn't actually have loose sockets. It was ripped out somehow (though that doesn't make sense as the headphones were underneath my shirt to prevent it from getting caught/snagged anywhere). The left connector has bent pins and the pins have a bit of plastic in between them that they ripped out of the earpiece socket. The earpiece socket holes look odd (a little sliver/section of the metal socket holes have been pulled out of each hole) and there's some plastic chunks missing off the earpiece as well.
Here are some pics:
And here is the other earpiece, which is normal and shows no plastic that has been broken off around the socket edge:
I'm pretty irritated now. Even if I can straighten out the pins, I don't know if they'll stay in the socket anymore. Sucks, too, since I really liked these headphones.