charging voltage should never go that low and its usually a problem with your alts voltage regulator. normally you replace the whole alternator. usually the batt. light and low oil light(amber color) will appear on the dash when your alt fails.
did you look to see if the wheel was wobbly when it was spinning on the balancer? if you have to put weights on different spots on the wheel it would mean its a bad wheel. should only have 1 wheel weight per side dynamically balanced.
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