The values on the stator's charging voltage are good but usually a little higher at more rpm's(around 14+v)
A good battery at rest is around 12.50-12.90, your's is right at the point where it'll need replacement soon.
The temperature of the regulator doesn't sound too hot- voltage regulators/rectifiers are normally mounted in a place where they will get air movement to aid in cooling them down.
Glad you found the source of the fuel smell!
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