Hello Scott,
Most DVM's apply a lot of filtering on the DC voltage measurements (for easy readout), Vems measures Vbatt over a 0-30v range with 0.117V resolution (not heavily filtered), the 13.5-13.7V fluctuation is not troubling at all. Since your reported Battery voltage is quite stable it is unlikely that this is the cause of your issues, i am confident Gunni will be able to sort it out for you without to much hassle.
Best regards, Dave