UPDATE: I put the 5 mobo caps in and like a miracle, the PC works
flawlessly!

Now this was a Gigabyte GA-7VKMLS. I have a GA-7ZXR at home. and it
is a little "buggy." So I figured it wouldn't hurt to take a look at
it.

Well, wouldn't you know it, 2 "busted caps!"

Except this mobo is a capacitor extravaganza. There are (13) 1200uF
6.3v caps of this type on this board!

Let's see, the board on a good day is worth $40, will take almost $15
in parts. Hummmmmmm.... good thing I don't do this for living, eh?