No more than 12.5 charging-Has to be VR problem?

Between Batt + and IGN (blue) - Reading is .03 and once had .02

That seems wrong unless you are doing the test with car off, your other prior tests suggest a few volts. Are you measuring running, above idle speed where you were measuring 16 to 18V?

Another good test is battery - to regulator case, and again at engine ground to see if there are drops there.