Hello and welcome to Just Answer!
Do you have a test light and are able to check a few things tonight?
The first thing I would like to do is pull the coil wire out of the distributor cap, hold it 1/2" away from ground and get someone to crank the engine over. If there is no spark, move the wire end closer to ground.
If you don't have any spark, I would like you to disconnect the coil 2 wire connector and test the dark green/orange wire for power when you get someone to turn the key on. When you first turn the key on, there should be power for a couple seconds and then turn off. If you have power, get someone to crank the engine over while you test for power, I would like to know if you have power while cranking it over.
Let me know the results!
That means the PCM likely isn't seeing a crank signal from the crank sensor. The PCM needs to see a signal from the crank sensor before it will turn on power to the coil during cranking.
Did you replace the crank sensor with a jobber or Chrysler part?
Have you thoroughly checked the wires going to the crank sensor to see if there are bare, broken or pinched wires?
Yes, the wires that run from the sensor connector up to the engine main harness.
When you say they swapped out the crank sensor, did they install another new one or used one?
Sorry, I didn't mean you had to tear into the harness, just visually check it up to where it goes into the main harness.
Lets check the crank sensor. With the connector attached, I would like you to back probe the violet/white wire with the key on to see if you have 5 volts. If you do, crank the engine over and see if you still have 5 volts.
No problem, just let me know when you are ready to continue and we'll take it from there!
In the mean time after you get the battery charged, I would like you to check that gray/black wire again while the key is on and manually turning the engine over on the front crank pulley(1 1/4" socket). The voltage should go from 0 - 5 - 0 - 5 - 0 - 5 and etc while cranking the engine over.
Let me know!