Now about the thing, and what's broken about it : I actually don't know, I just know that it fell and that it didn't work anymore after that.
So my conclusion was that some bits of solder must have been broken by the fall and that I only had to find out what and where did this happen.
Except that I didn't see anything broken, meaning that this probably isn't it. Which led me to think about something else, the adaptor "pcb to micro usb" might be broken, since when I plug it in nothing happens, which would be also what would happen if I didn't plug it in, meaning that somewhere the cable is maybe broken, and since I've tested with another cable I know that it's after the cable.
My dad being an electronician, he poked around the pcb and didn't seem to see anything broken or whatever (his conclusion was that the keyboard was not flashed (which is more than very unlikely)).
So there you have it, my diagnosis on the situatioon, now the problem is that I have yet to test the "pcb to micro usb" part of the keyboard, I plan on testing it but I don't really know how since the pins of the micro usb are much smaller than the ones on a DIN5 (god dammit, why did I have to buy such a modern keyboard ??

Anyway here are some pics of the pcb in case someone notices something.



I know this blob of solder seems suspicious but from what I've seen from the poorly pictured pcbs of other Rapid-I this seems to be normal, though as I'm not sure, I'd still prefer a picture of a member that confirms it.
what I think is "le coupable" :

what do you guys think ?