unless you had the batt charged and load tested, it is irrelevant at what rmp it cuts off. It is way to hard to troubleshoot through the internet.
It will charge at 14 volts at idle, but some will creep up to 14 as they warm. It all depends.
Do you have a volt meter to test with? If you have an emergency jump box, you may be able to swing it in for the battery, but again Its hard to say over the internet.