Sounds like you should have the dealer take a look. I'm not sure if there is a separate battery for clocks, etc., I'd think that's all off of the main battery - and I'm assuming that's fine? Also, I'm not sure what you mean by "the radio will not stay on..." - you mean the radio is on when you turn the car off completely and then the radio is not on when you start the car the next time? Regardless, I'd take it in and have the dealer or a mechanic look at it.