So, in the interest of your initial question of locating the LED, I would wager this is your dude. I had a look at the video and it's hard to tell for sure, but the board silkscreen looks like that part is labelled as D36. That would mean a diode of some kind and it certainly looks like it could be a surface mount LED
[image|2815902]
As for the issue, could be a poor connection, or a bad LED, but getting the thing apart looks pretty straight forward so I would say it's at least worth getting the front plate off to have a look.