Dead Alternator?
Those voltage numbers are horrible. Just sitting on your workbench, the battery should read at least 12.8 volts. And without the gear turned on, the voltage at idle should be above 14 volts. I have a hunch you're going to find the voltage regulator and/or bad connections in the brown coupler are the culprit, but I suppose it wouldn't hurt to check the alternator.
Unplug the brown coupler, set your meter to read AC volts and probe any two of the yellow wires in the harness side of the coupler. Rev the engine to 4000 rpm and you should see at least 60 volts AC. If you consider the three yellow wires to be A, B, and C, you'll need to perform this test on the pairs A-B, A-C, and B-C. Good luck.