83 320i Help W/electrical Problem

[ALISA]

:cry: IF ANYONE CAN HELP I WOULD BE FOREVER GRATEFUL....

I HAVE A 1983 BMW 320I AND I CANNOT GET IT TO START. I HAVE HAD THE ALTERNATOR REPAIRED, REPLACED THE BATTERY AND REPLACED THE WORN POSITIVE BATTERY CABLE WITH A NEW ONE. WHEN I TRY TO START IT IT BEGINS TO TURN OVER WITH THE FIRST ATTEMPT AND THEN NOTHING, BUT WHAT IS PUZZLING ME (I DO NOT KNOW A WHOLE BUNCH ABOUT A CARS IGNITION/STARTING SYSTEM), IS THIS- WITHOUT A KEY IN THE IGNITION EVERYTHING FUNCTIONS, THE STEREO, INTERIOR LIGHTS, HEATER. ETC. ALSO, THE BATTERY LIGHT ON THE INSRUMENT PANEL STAYS ON, (FOR THIS I HAVE TO KEEP THE NEGATIVE CABLE OFF THE BATTERY). THE HEADLIGHTS DO NOT WORK BUT THE REAR PARKING LIGHTS WILL COME ON. WHEN I PUT THE IGNITION KEY IN AND ATTEMPT TO START IT, THE HEADLIGHTS WILL COME ON AND THE BATTERY LIGHT GOES OUT, BUT NOTHING ELSE WORKS OR LIGHTS UP ALSO, AS I HAVE MENTIONED, JUST A VERY WEAK CRANK OVER BY THE ENGINE AND THEN NOTHING WHEN YOU TURN IT AGAIN FOR A SECOND TIME. I HOPE THAT THIS INFORMATION IS ENOUGH TO SOMEONE OUT THERE THAT CAN HELP ME IN MY QUEST TO START MY CAR REAL SOON. THANK YOU TO ALL WHO HAVE TAKEN THE TIME TO JUST READ MY THREAD AML :sun: