I wish I could get down to some of you guys. We'd have this wrapped up in "short" order. No pun intended.
FIRST thing I'd do is charge and test the battery, and replace it if need be. THEN you'll have a battery that will run the car "for awhile" and you can do some testing.
The real high voltage is not a good sign, that indicates the alternator is NOT solidly hooked to the battery, IE bad connection in the charging circuit. Broken connector/ wire right at the output stud, bad connections through the bulkhead, etc. Could even be a broken "in harness splice."