When trying to start it makes a a winding noise maybe like a relay switch. when you turn on the key on the driver side under hood you can hear a clicking/winding noise and the starter doesn't even turnover and try to start.

if your fuel pumps not kicking on try looking under the hood in the fuse box for relays there black boxes 1in by 1in and have some one get in the car and turn the switch on and off while u hold each one if it clicks when the key is turned its good and if not swap it for one that does to rule out the fact that it might be a relay that requires the car to be running to come on

Starter relay is actually mounted on top of the starter. Have you checked to see if your "new" battery was fully charged? If it is, then i would try a new starter which comes with a new starter relay. If you don't think its any of the above, it must be your starter switch. NOTE: starter switch is not where you put the key in, its mounted somewhere on your column, maybe even close to the floor and is actuated with a rod. You can actually start your car without a key after you find where the switch is located. Just pull down on the rod. (little known fact you can start a car without a key this way, hope your not a car theif, you can steal anycar this way lol)

WHAT RELAY? THE ONE IN THE UNDER HOOD FUSE BOX?...HOW DID YOU DETERMINE IT WAS BAD?...RELAYS IN MY VAST EXPERIENCE DO NOT FAIL OFTEN!
CHECK FOR 12 VOLTS AT HOT LEAD ON STARTER (THE LARGER WIRE USUALLY RED) GROUND BLACK LEAD TO STARTER BODY OR HOLD ON BOLT IF USING A TEST LIGHT OR MULTI- METER. IF NOT 12 V AT LEAST, YOU BACK UP ...TRACE WIRING, RIGHT BACK TO THE IGNITION SWITCH. BE SURE TO CHECK THAT ALL GROUND WIRES IN SERIES IS CLEAN AND TIGHT AS WELL. NO NOISE....MEANS NO STARTER ENERGIZATION!....FIRST PLACE TO CHECK!
***TRICK FOR YOU: TAP ON SIDE OF STarter body and car may crank over....it isCALLED "the magic hammer trick!

check in fuse box for blown fuse and if not blown could be relay which would be located under the hood usually on drivers side in a black box with cover on it. remove cover and there should be diagram inside as to the location of relay in box..If the relay and fuse check out ok then have pressure test prefomed on fuel system....But easyest way is simply turn key to start position but do not start. If fuel pump is working you should hear a humming noise in gas tank area and will only humm for a few seconds. you may want to try this a few time to here it...If you have checked relay fuse and tried this and hear no noise in tank then this would indicate that fuel pump has failed and needs to be replaced...good luck and hope this helps and please rate this post...

the relay is probably under hood on driver side fuse panel.most dodge has a template on underside of cover

Window fuse's and relay's may be up under driver or passenger side dash or behind glove box, under the hood and even under the seats, and finally on the ends of the dash. All passenger power windows and locks are controlled thru and get power from the master control switch on the drivers door.

Drivers door window gets used the most so it could be the motor, window switch, relay or fuse.
Could also be a broken wire in the rubber boot going from the door to the body. You will have to eliminate each till you find the culprit. Check that all switches return to neutral when released.
The motor and the relay are the most likely to cause this problem. Try swapping the relay with a working window relay. If it still doesn't work, remove the door panel and remove the window motor.
Turn the motor shaft in both directions by hand several turns. Then plug the motor in and see if the switch will now run the motor. Sometimes that's all it takes to get it working again. I have had to do this with brand new motors. If voltage is not present at the motor connector, either a bad switch or a broken wire exists. Make sure to check for voltage coming to that windows switch. Actually, GM use's a circuit breaker type relay for each window and one fuse for all the circuit breakers.
Try this....
Open the door, turn the key to the ON position without starting the engine and everything that makes noise is off. Lean down placing your ears close to the bottom center of the door or at the speaker grill. Press the window switch UP and DOWN. Listen for the window motor. If heard the drive is damaged. If not heard, turn key off and locate and replace the relay with one of the other window relays. Check window again. If it works now, get a new relay. More often than not, removing the motor and turning it by hand will get it working good as new. I have had to do that with Brand New motors! So try it.
If all has failed, with the door panel still off, check for voltage at the motor connector when pushing the window switch. No voltage means its the switch, especially if its a auto down or up switch.

You should hear a soft buzz or something from a relay. You can try hitting on it, not to hard though. Sometimes, it will not make a noise. I would change the relay first. It it a lot cheaper then a fuel pump.

Could be low battery. Did you hear a chattering sound when you tried to start it? Normal battery voltage fully charged is actually over 13 volts. Try to jump start it. If you don't get a response out of it, then check your fuses. Check engine bay fuses (under the hood) and interior fuses (inside the car-drivers side) Also could be starting relay. have a second person turn the key and you listen for a relay under the hood. If the IGN relay does not pull in, hten you either have a bad fuse, or bad relay or bad ignition keyswitch or bad transmission neutral position switch. if relay pulls in and then chatters, it does not have enough voltage to stay pulled in and attempt to run the starter motor at the same time, which is why it will make that fast clicky-clicky noise. if it does pull in and nothing happens then your starter is either bad or not connected electrically.

check the auto shut down relay and wiring.

try resetting the inertia switch located on drivers side way up under the dash,with a red button on top,maybe you kick it or hit the body hard enough to kick it off,also check the fuel pump relay under the hood drivers side ,i think brown and black relay box over wheel( inner fender)..and check the fuse,and new fuseable link