Well, now I’m pretty convinced that the BMSs are trash, and more than likely the cells are permanently damaged.
I had been slowly rising the voltage of the power supply. I came home today and went to raise the voltage up another 0.05 volts to 14.15. Well, before I raised the voltage up, the amp output was showing 0.005 amps which is considerably lower than the 0.015 amps it has been at. So, I checked the cell voltage and found a cell on one battery at 3.78 volts!! I didn’t even bother checking the other ones after that. I’m done with this setup. I’m going to hang on to it all till I can get replacement batteries. After that I’ll probably scrap the cells that have been charging at too high of a voltage, and get a different BMS.
I just can’t rely on a BMS that doesn’t balance the way it should. Maybe this was just a bad batch of them because they do have a good reputation.