The car has been dying when come to a stop

Other than diesel trucks, you'll never solve a running problem on a Chrysler product by replacing the fuel filter. They often last the life of the car. The ignition coil is not something to even be thinking about because that would cause stalling at any speed and it would not be able to be restarted, at least not right away until it cooled down.

Sounds like the battery might have been disconnected or run dead recently. If so, the Engine Computer lost its memory and has to relearn "minimum throttle" before it will know when it must be in control of idle speed. It also might not give you the normal "idle flare-up" to 1500 rpm when you start the engine. To meet the conditions for the relearn to take place, drive at highway speed with the engine warmed up, then coast for at least seven seconds without touching the brake or gas pedals.