Why 2.8V, I do not know...
But to your topic question; I think you already answered it yourself.
"How to test
BMS": Disconnect it. If your problem then goes away, the bms are faulty.
But what is wrong, I do not know.
It could be one of the thin wires going to each cell that have come loose? Or something with the bms itself.
The last one would not be easy to find out, and I think a new bms costs around $30?