The car will start, after one mile, I shut.

Are you saying after you kill it, it won't restart. When the problem occurs, if it cranks good but won't start, have a helper crank it, while you visually check for spark at the spark plugs. If you have spark everywhere, use a gage and check fuel pressure. Can you check for applicable trouble codes? Some of the national brand autostores used to check codes for free.