Dodge caravan 1996 During cold weather wiper malfunction

thats way too cold..minus 37 centigrade????I dont think its possible in nature..but cold is cold..the controls may be frozen..if you have a heated garage..put the car in it for a while and let it warm up..

This is an old but very current problem also. I just replace my second 97 caravan motor in 6 months because of severe grinding noise and it was the motor both times. I got another re-mfg replacement motor last week and it is totally quiet.
Before you install the crank arm on the motor you operate the wiper switch in all positions to check that the computer is running it intermittently, slow and fast etc. that it and shuts it off at the same position every time. That shut off position is park.
Unplug the external motor connector or fuses. Now push the mechanism arms fully to the right and install the crank arm at two o'clock on the motor shaft, which gives you just enough room to install the hold down nut. Hold one of the metal bars so you don't turn the motor during tightening the nut.
Now reconnect the power plug and test the operation. The motor should shut off with the right end arms fully extended, which, when connected with the blade arm, will make them stop at the bottom of the windshield. Install the driver side wiper arm slightly above level and the left arm 4 inches below that. Don't power tighten yet. Test the operation. If they hit each other adjust one or the other away. This works for most all wiper adjustments. When you get everything looking right and sweeping the full window and not the body. Start tightening and putting every thing back together.
Also clean out the wiper pan and the two drain hoses. The hoses can be pulled loose below the pan. LOL

It's most likely a bad stick. You would be having problems with all the other settings if it were motor/relay.

remove the wiper tub.

You'll need to remove,

the wiper arms
the plastic cowl cover
5 or 6 10mm nuts
4 or 5 13mm bolts
Unplug the wiper motor

And pop the whole assembly out. There will be a lot of room once it is out.

I’m happy to assist further over the phone at https://www.6ya.com/expert/jeremy_d728a59f986299fa

Lift wiper arm from rear window. then release latch that holds the blade to the wiper arm.( It's small tab)

This sounds like worn linkage

Using a small screwdriver remove the cap. Theres a slot to do this. Remove bolt holding down arm. If not able to remove by hand, use small puller.

Remove the nut holding the arm. Should be able to lift up on the arm and loosen the joint at the motor.

According to the Haynes repair manual Chapter 12:

1. Disconnect the negative battery cable
2. Detach washer hoses, lift the wiper arm covers and mark the wiper arm locations on the pivot shaft for later re-installation. Remove the wiper pivot nut and remove the wiper arms.
3. Remove the cowl cover (from chapter 11)
3a. Remove the wiper arms then remove the screws that hold the lower area of the cowl cover to the wiper module.
3b. Disengage the quarter turn fasteners that hold the outer ends of the cowl cover to the wiper module.
3c. Open the hood and release the wing nuts that hold the front of the cowl cover to the wiper module.
3d. Close the hood but do not latch it. Now remove the outboard screws and lift the cover up enough to get to the washer hose.
3e. Disconnect the washer hose from the right washer nozzle. Close the hood but do not latch it. Lift the cowl cover toward the windshield and off the vehicle.
3f. Installation is the reverse of removal
4.Open the hood. Disconnect the wiper motor electrical connector.
5. Disconnect the windshield washer hose from the coupling inside the unit. Disconnect the drain tubes from the bottom of the wiper unit.
6. Remove the wiper unit mounting bolts. (Picture appears to be three (possibly allen head) bolts)
7. Remove wiper unit.
8. Installation is the reverse of removal. Wiper blade and wiper arm adjustment is measured with the wipers parked; correct adjustment is the lower wiper arm approximately 1.5 inches distance from the cowl cover and the upper arm approximately 2.5 inches from the lower arm. Operate the wiper motor and check that the wiper motor parks when the wiper switch is OFF.

The only thing left to try, other than replace the arms is, take those nuts right off & remove the arms. Take a small wire brush, or whatever you can find that will work and clean the splines on the pivots, and inside arms as much as possible, re-attach arms & tighten. If the metal is stripped away too much inside arm, they may have to be replaced, either from a wreckers, or new. There are some compounds out there that they say work, to add metal, but in my experience, they weren't all they were cracked up to be.