I would like to know what's the name of the connector on the side of the PCB? It's really small. Width: ~ 5 mm. Height: ~ 1.2 mm.
A short name would be an IDC connector, here's a whole list of them: http://www.jst.com/home21.html
This one looks close to what you want:
Just measure the pitch (pin to pin spacing) and you should be able to find a mate. If I remember right, finding those in the US at that pitch and in 1-100 unit volumes was a pain. JST was eventually the guys who had what I was looking for though.