Steering wheel ceases up during right hand turns at slow speeds. It doesn't happen often, but everytime it was during a rainstorm and I was going around 5-10 mph.

sounds like a wiring issue...its wiring is tangled with the steering column or steering wheel and it get stretched when u turning full lock.It could be loose connection too.check the wiring harness around steering column and ignition assembly.

check for loose steering box / rack. Check all steering ball joints and suspension joints. have a steering specialist shop check it out as steering problems border on safety

Defective rack and pinion steering gear.

If I understand you, the steering wheel will not turn. Or is it that it is hard to turn? If it doesn't turn at all, I would not drive the car at all until it is repaired. If this should happen to you on a turn or when traffic stops in front of you, you could kill someone. It is not uncommon for a car to go into a slow speed mode, but what you describe is very dangerous.
Gary

Could be a front tire rubbing up against part(s) of the wheel well. Are you using the correct size tire up front?

There's a technical bulletin on that from Chrysler....The power steering lines need to be replaced. I have the same problem as you see this link - http://www.wjjeeps.com/tsb.htm#STEERING

SUBJECT:
Steering Honk On 4.0L And 4.7L LHD Grand Cherokee Vehicles
OVERVIEW:
This bulletin involves the replacement of the power steering pressure
and return hoses and tube.
MODELS:
1999 - 2002 (WJ) Grand Cherokee (Domestic and International Markets)
2001 - 2002 (WG) Grand Cherokee (International Markets)
NOTE: THIS BULLETIN APPLIES TO 1999 - 2000 4.7L AND 1999 - 2002 4.0L
GRAND CHEROKEE VEHICLES THAT ARE LEFT HAND DRIVE (LHD) AND
ARE NOT EQUIPPED WITH HYDRAULIC COOLING.
SYMPTOM/CONDITION:
Some vehicles may exhibit a honk-like sound from the power steering
system. This sound occurs most often during a low speed right hand turn,
as would occur during parking lot maneuvers.
DIAGNOSIS:
If the customer indicates that the above condition is present, perform the section of
the Repair Procedure that is appropriate for the equipped engine.
PARTS REQUIRED:
Qty. Part No. Description
1 04883077 Fluid, Power Steering (MS-5931 quart)
1 05080950AA Hose, Pressure (4.7L)
1 52088116AB Fitting, Pressure Hose - Quick Connect At Pump (4.7L)
19-005-02 -2-
Qty. Part No. Description
1 05080951AA Hose, Return (4.7L)
2 **06504502** Clamp, Hose (4.0L or 4.7L)
1 **52088452AE** Hose, Pressure (4.0L)
1 **52088774AC** Hose, Return (4.0L)
1 **52088775AB** Tube, Return (4.0L)
6 **34201631** Rivet, Plastic Black (Front Fascia - 4.0L)
1 **06102141AA** Screw, Pressure Hose (6 mm - 4.0L)
REPAIR PROCEDURE:
**IF VEHICLE IS EQUIPPED WITH A 4.0L ENGINE:**
1. Remove the front fascia panel.
Fig.

What we used to do in one of the Eastern European countries is just to turn the vehicle over for wery short period of time.
I believe that you do not have equipment for such a trick, so just ignore it for now, and in couple of days it'll dry out.

Good luck

Sounds like you have air in your steering system. I would start by looking for any leaks on your steering system like hose to fitting crimps, steering pump, etc. Check your steering fluid level to make sure it is full and also look for bubbles on the dip stick. If everything looks good, start the vehicle and turn the wheels all of the way to the left and then to the right. Do this while the vehicle is in park and repeat at least 5 times. This will work out any air in your steering system. If the problem persists then the power steering pump may need to be replaced.

need to check the wheel bearings - tire size if you have replaced the tires recently

There is a unit in the steering column called a steering speed sensor. Replace it and all is well. I had to do it on my 1998 Chevy at 140,000 miles and all is good. Have since done it on another 1500 and it corrected its problem too.