E30 Zone

my oil light seems to remain on (but very dim) when the car is off? any ideas? also i parked the car for a while and now the fog lights are stuck on and the stereo make a horrible high pitched noise once turned on so i had to remove it, the funny thing is there was nothing wrong with the car before i parked it and the only thing i changed was the battery,

the car is a 87 325i cab btw

Which oil light?

the low pressure/level oil light on the dash, the little oil can thing,