I dont know where your are from, but where i am, Upper Michigan, hard anyone uses the E-brake becuse it is rarely used and gets rusty preventing it from releasing. If the rims are hot after driving a little bit then my guess its the brakes draging. as it is for the e brake light check the fuses, still bother yu take black tape over it or pull the bulb out. I seen/had cars with the light on, doesnt mean that there is anything wrong.