The BMS looks fine. I just wanted to see if it had bleed resistors, which it does. The one interesting thing is that it doesn't have a B+, which means it gets its power from the balance leads. One of the middle ones has an extra connection, so it's possible that the cells between it and ground are powering the BMS, which could account for why one bank is low and the other high. The only other logical explanation is that some water got in and drained some charge from the cells at the bottom. It's still not clear to me which are the lower voltage ones. Are they at the bottom of the battery or the top?
Whichever ones it is, i think there's good reason to believe that the battery can be repaired by re-balancing manually. This means that you have to charge up the low ones or discharge the high ones until they're equal. You can charge with a USB charger, any charger you have for single cell lithium batteries (4.2v) or a cheap lipo charger. If you use a 5v USB charger, you have to keep an eye on it to make sure it doesn't go too high. the others are automatic. To discharge you need something like three 5W 12v bulbs joined in series, and then watch carefully to make sure that they don't go too low.