My brother has a Neon. It was running perfectly until he took a curvy off-ramp from the freeway. For on apparent reason, it died right in the middle of the curve, and couldn't be started. The instruments in the dash worked, and the interior light would come on, but that was it. We tried everything to get it running again. Tested the battery voltage, wiggled the battery wires, etc. Finally decided to bypass the factory wire by connecting one of the leads of the jumper cables between his positive battery post, and the positive lug on his fuse fox. Fired right up. Up inside the wire it was corroded, but looked fine from the outsite. I would suggest you do something similar. Connect the negative wire on some jumper cables between your negative battery post and a good clean ground on your engine. Then connect the positive wire of the jumper cables between the positive post of your battery and the post on the starter motor, or wherever that heavy wire from the battery goes. Give it a try.