Dodge Caravan 2004 - Sticky Gas Pedal(Not carpet related)

John, first make sure it is not floor mat or carpet holding gas peddle down causing throttle issue. If all looks good there, would suggest you check throttle cable for being seized, throttle body seized or return spring faulty/broke. You may want to contact a good Tech, have them diagnose and estimate repair. Check the attached links,instruction and guides, Good luck
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http://www.ramforumz.com/showthread.php?t=63227
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Inspect the cable to the throttle control mechanism under the hood? All all the cables in their proper tracks? Are any cables wrapped the wrong direction, or out of the in-line track?

For this problem, i suggest you to go through this help links.Click the link below to go through the troubleshooting procedure :----Car Idles rough and quits when gas pedal is pressed less? http://technoanswers.blogspot.in/2012/01/1999-ford-f-150-idles-rough-and-quits.html-----------Car only starts when gas pedal is pressed? http://technoanswers.blogspot.com/2012/01/car-only-starts-when-gas-pedal-is.html
-----------Car won't start without hitting the gas pedal? http://schematicsdiagram.blogspot.com/2011/12/car-wont-start-without-hitting-gas.html
---------Car dies when gas pedal is pressed? http://schematicsdiagram.blogspot.com/2011/12/car-dies-when-gas-pedal-is-pressed.html
------------Pushing on the gas pedal, but the car slows down? Gas pedal to the floor and the car slows down? http://technoanswers.blogspot.in/2012/02/pushing-on-gas-pedal-but-car-slows-down.html
-----------This will help.Thanks.

The choke function is not working on a cold engine.
1 clean throttle body and IAC motor air pathways.
2. Check for engine codes, you are looking for a code that relatws to the wngine temperature sensor.

bring this to a service repair center an have a fuel pressure gauge hooked up to it..it sounds like the check valve in the fuel system is allowing the gas to drain back into the fuel tank, when u press the gas pedal it commands the fuel pump to pump extra gas into the system filling the fuel rails back up with fuel allowing it to start faster....

check fuel pressure

If it doesn't **** to the left or right, then check your engine and transmission mounts.

Remove neg batt cable. Drain the cooling system. Remove radiator cap, set heater control to max heat. Drain coolant through valve on bottom rad of the radiator. 12 qt bucket. Pull the carpet out of the way on the driver side floor. Remove the bolts to the steering shaft coupler cover. Remove brake light switch from bracket. Diconnect the power brake booster pushrod. Place towels underneath around area for fluid drippings. Remove retaining clips from HC fittings. Pull the tube out of the HC & carefully rotate them out of the way, plug the open tubes for less mess. Remove the HC bracket bolts, then remove the braket. Push the brake pedal down , the gas pedal up & move the shaft cover out of the way. Pull the HC out of the heat/ac hopusing unit...

The only thing I can suggest is to buy an aftermarket cruise system.

U may have got some bad gas, also maybe vapor lock.