One wiper not working.

The wiper module is built into the the wiper motor. First unplug it(on the drivers side, just under the wiper cowling) Look for corrosion. Clean it with battery cleaner, the plug and motor connector. If it still acts up. replace the wiper motor.

It is called a grommet.

look here
http://www.factorychryslerparts.com/showAssembly.aspx?ukey_assembly=570478&ukey_product=4583307

There is a tube on either side, and they have a tendancy to get clogged with debris. I would attempt to clean them out. You may also want to remove the wipers, and tale off the top of the wiper module. Leaves, and other debris tends to collect under there, and that's what clogs the drain tubes. Good luck, and let me know how it works out. Thanks.

The wiper arms are 'pressed' onto the wiper motor spindles, often at times when only one of them stops operating, it is because the splines on the wiper that is no longer operating has become stripped out. and may need to either be replaced or tightened. I would recommend tightening it first, then replacing it if that does not correct it.
You can access the hold down bolt (if it is not exposed) by taking a small screw driver and prying up the bolt cap. The bolt is usually a 13mm, and is more easily tightened by a ratchet and socket of the same size.

most wiper motors are now equiped with a circuit board, when those circuit boards go out, you wipers will work as they please

bad ground on motor or bad motor do u know how to test for power going to the wiper?

You may have bushings bad, but I dont know if you can buy those seperate, or the whole wiper transmission.

Yes you can adjust them yourself. First you need to check that the wiper arms are not bent. If not, remove the cap at the wiper arm base, under it u will find a nut, remove this nut. you should now be able to remove the wiper arm. (it is comon for caravan wiper arms to be corroded on. If the arm dosen't come off, you may need to heat up the wiper arm with a propane torch. be careful not to melt the plastic cowel under the arm. OR you can use a wiper puller or a battery puller. do not force it, you can break the arm, DO NOT PRY AGAINST THE COWEL OR WINDSHIELD.
Once both arms are off, turn your van on and turn the wipers on. watch the wiper posts, turn the wipers off and watch the wiper posts return and stop in the "parked" position. Turn the van off. Install the passanger wiper arm first, it is positioned closest to the bottom an inch or two above the black cowel. It should be parrallel to the cowel. next install the drivers side wiper arm. it is positioned about 4 inches above the passanger wiper. again running parrallel to the cowel and passanger wiper. tighten the lock nuts down (do not over tighten) wet down your windshield with glass cleaner or windshield washer fluid and test wipers. If they still hit you can lower the passanger one a little or raise the drivers one a little (careful you don't raise the drivers one too much or it will 'jump' off the windshield at the top of the wipe).
good luck, hope this helps.

My Town & Country had the same problem. It was clogged. I had it cleaned by a mechanic and it works fine now.

try asking about replacing the multi-function switch...generally controls the headlt.dimming,turn signals,wiper speeds. kev-mn.