Part of what you're describing is commonly caused by a bad connection where the smaller positive battery wire bolts to the under-hood fuse box. The resulting low system voltage can make various computers do weird things so the additional symptoms you've observed may not be good clues for this problem.
I would approach this by turning on the head lights and the heater fan on a lower speed to force enough current to flow through that connection to make the "voltage drop" show up. Measure the voltage on that stud on the fuse box, then on the terminal end on the wire that's bolted to it. They SHOULD be exactly the same, but if you find any difference, even a tenth of a volt, that indicates that connection has to be cleaned and / or tightened.
SPONSORED LINKS
Saturday, March 22nd, 2014 AT 3:46 PM