03 Neon SXT trouble restarting after being shut off

limited info generic answer --does it turn over --have you had battery tested [load test] voltage regulator is part of ecm --test battery--test starter

P0010 code is the camshaft position sensor. If this fails the vehicle will simply shut off.

Lube the starter pinion with graphite in stead of oil or grease for cold weather

Try this, it works on other Chrysler products.

Insert key and turn to run position. put odometer on the trip position. turn key off.

While holding trip meter reset button in, turn key to run position ( dash lights will be on ) release trip meter reset button and watch the gauge cluster go through a test cycle.

After this cycle the gauges should return back to normal.

Hope this works for you.

Very cold climate/weather, I'd run 5 w 30. Warmer/hot weather 10 w 40.
Here is Southern Ontario Canada, I run 5 w 30 or 10 w 30 winter and 10 w 40 summer.

Sounds like alternator belt burned and broke.

I have a 03 sierra 1/2 ton with the same problem.... I just took it to my dealership on friday and they said its the memory module... I think thats what they called it,,,, $500 plus labor for a new one.....

Don't rule out fuel pump. Had a 95 do the same, ran great when cool in morning then when it got hot in afternoon, it would quit. Wait 15-20 minutes & go again, sometimes got me home, other times a few more miles until it cooled down again. Luckily I had access to a fuel pressure gauge. Cool in morning had 49 psi, when it quit, 2 psi. Wait 20 minutes, 49 psi again. If you can drive it around until it starts to act up then run into a repair shop for fuel pressure test it will confirm it. If not, they may need it all day to monitor the fuel pressure & confirm it is pump. If your a gambler, change it & fuel filter. One thing I did get was trouble codes indicating a lean mixture, due to starving for fuel. Have you cycled your key to retrieve any codes yet?

Check your battery voltage with the car running and verify that your alternator is working (should see 13.5-15v if it is)

flashing the PCM worked on my 02 Neon ES.