great pictures
did you indicate anywhere what the voltage of each set of parellel cells was at ?
myself i sort of doubt that a part fell off the board, the resisters there in this application are not likly to be working hard or heating up when working properly, If they were taking major heat through, then falling off would occur.
if core figures they would be megohm or Kohm resisters there, then they sure are not for all the power flow , so they shouldnt get falling off hot. the protection PCB themselves use very tiny ammounts of power.
if it was the sence resister with less than a whole ohm thing , then it could.
it just doesnt look like something fell out, its not consistant with that look.
they can leave stuff out of different models or just leave "holes" in a PCB where the item was deemed unnessisary or even was wrong to put it there. so something missing MIGHT not be missing at all.
on the other hand these flea parts held with thin vat soldering can easily fall off, but these look Blob soldered , and not conservative with the solder.
and if it did fail or something fell off, i wouldnt fix it because it is faulty design, the protection should protect itself (so to speak) where protection has a max amps that can flow through it, so even if the output was shorted the protection should not croak. the protection has to be damaged (physically) or shorted itself. uhhh because protection has short protection for the battery pack.
then what is the voltage of each battery? because you indicate it happened on the charger.
have you put a load on the output yet? or only tested with the meter?
if the protection was kicked on, the voltage reading you get might not have any meaning, unless of course it also doesnt work when put under load (which i would assume you already tried)
What if one cell item is just overcharged beyond the protection engaging, this is not balanced, or balance charged is it? soooo, that exist a tiny possibility that one of the cell items is over voltage. hmm not likly but worth checking for before you change anything.
sooo, if you cant get it working, any of these 7.4v 2S things sold here are cheap and could be user replaced easily
http://www.batteryspace.com/pcmforli-coli-mn-nibatterypacks.aspx
just get the right amp ammount for the use , not way over and certannly not under.
caveats some of the "4amp" protection only does a good 2 amps, and some "8amp" protection only does 4amps, geez dont ask me why?? but the dealer will often note it , even if the manufactures specs are totally wrong.
the output side of protection should read exactally the same as the voltage of the batteries, when there is no load, and only minimally different when there is a load, the protection is not regulation, and from what i can tell this is not a regulator.