Based on the troubleshooting steps you have tried so far, I would recommend making sure your firmware is up to the latest version. Right now it is running 3.2.0 according to your Alarm.com account. Is that correct or did you upgrade it further?
Make sure it is at 3.2.5 using the instructions here, then power down the system fully, transformer first, then battery, for 20 minutes. Then plug in battery, plug in transformer, and allow it to boot up. Run a cell test after a couple minutes. Any luck?