It shuts down it acts like it is not charging bttery is 12.75. When i put the head lights on it goes down to 12.17

For strange anomalies like that you need a good auto electrician with a pro grade scan tool computer to diagnose which modules and sensors are not communicating and where the parasitic draw is that is depleting the battery.

When you jump start are you putting earth to the body/chassis or to the battery??

sounds Like the Body control module is goin and check your grounds for being Loose and see the could also be in the wiring Harness is a short or the dash panel is shorting out out first by used one then see what happens ther cheap

- Check battery terminals.
- Check the alternator belt.
- Check charging system.
- Scan with diagnostic computer.

you mentioned new alternator and battery, but it seem that the alternator is not charging, when you install the new battery the car started and run and after hours of running specially if head light is on the car shuts down. this is an indication that the alternator is not charging. (factory defect) have it checked or return part to auto supply.
if alternator is good and you have the car jumped and run it will not shut down even if your battery is dead because the charge of the alternator is enough to power the electrical system of the car until you turn it off. this applies to all cars

Your battery is definitely low. First clean the terminals on the battery and the inside of the terminal rings on the wires. If you have a slow charger put it on that overnight and see if it holds a charge. If it still keeps depleting or doesn't charge overnight then either your battery or your alternator are done....possibly both. So take the battery to have it load tested. Most places that sell them can test them. If the battery is done replace it then test the battery with a volt meter. If the old battery is still good put it back in the vehicle and test the voltage with a volt meter. With the engine off the voltage should read 12 volts (once its fully charged or if its new) with the engine running it should read around 14 volts. If it is way higher than that or it doesn't go up at all your alternator requires replacing. Alternators are fairly easy to replace but if you don't feel comfortable with that take it in to a mechanic.

what i do when i see cars that act like that is check fuel pressurse when the problem is acting up also check the spark to see if it is present at the time of the no start also when the check engine light comes on set up with a shop to check forr codes when the light comes on dont shut it off until the scanner can rread the codes. also that veh is equiped with a auto shut down relay system what is does is if a crank shatf sensor starts to go astray it can send the computer into shutdown mode also the o2 heaters can short out and that will send it into shut down mode also when it goes to shut down you will see it on a scan tool that the relay is shutting down also look at the grounds for the cruise control its usaully not the asd relay uaslly a system connected to it that shuts it down. hope this helps thunderboltz

your charging mechanism may ave gone bad or even your alternator. you can check those things out at autozone. they'll check it and i think it's free

Check your altinator wires are clean and tight.I have had some cars with that problem and its been the altinator regulator is the fault. Allthough the charge light goes out its still faulty.

charge battery up 2 amp slow charge,could take 24 hrs,,, put a volt meter of any kind that goes up to 20 volts or more,and it should be charging 13.50 to 14.25 with nothing on then turn ac on and fan on high and head lights on bright it should stay around13.25 to 13.75 if u dont get these readings replace alternator