You probably know this, but here's a 36V battery made with 10 cell groups. The BMS will isolate the cell groups if any go below 3 volts. You'll measure nothing at the battery output, except maybe some stray voltage voltage leaking thru the BMS.
The BMS will not allow charge if any of the cell groups are below some designed minimum voltage, usually somewhere between 2.5 and 2,9 volts. If you're measuring 2.1 volts on a cell, this is what's happening. The BMS has shut off the battery and won't allow charging.

Seems to me though that the BMS is doing its job. Probably works fine, Your cells are low.
Now it's a matter of risk. Cell makers set a minimum voltage of 2.5V for a lithium cell. Going lower risks damage. Damage means a higher fire risk. Most people will say 1V is too low, The 2.1V is in a grey area. Personally, I don't like taking risks with lithium,
Written enough, Maybe you can get all ten group voltages, which will give more info.
BTW. If there are only two wires, pos/neg, coming out of the battery, another one can probably be used,