call the dealership. The early bendix ABS system is covered under a lifetime recall for the pump .
the resons stated abofe are precisely why, if the abs pump fails they Jeep isn't driveable.
If it's within your means you might want to consider canning the ABS system and just going back to a regular master cylinder.
as to diagnosing your system:
The best thought would be to look at the basics.
fluid level - check this with your ignition key in the "run" position (engine doesn't need to be running), and allow the brake-pump to stop before looking at the reservoir - fill to the top of the "MAX" arrow. Most places are used to checking with the key "off" and that would cause them have not enough fluid in the reservoir bottle.
slow pump pressure - With the hand-brake pulled-up, start your Jeep and listen to how long the pump runs. The pump should stop in less than 4-minutes. Do not release the hand-brake or touch the brake pedal until the pump stops.
-- If the pump stops before 4-minutes, then your pump, actuator seals and the rest of the pressure system is in working order and you should look elsewhere.
-- If the pump runs for more than 4 minutes then your brake actuator piston assembly and/or the pump-motor assembly may be worn - these are the parts on the NHTSA recall. It's also possible that the relay controlling the pump and/or the switch controlling the relay could be bad.
computer fault - can't do much here without special tools - but on your '90, disconnecting the battery for 5 to 10-minutes may help clear the ABS computer's memory so you can start fresh.
bad/disconnected sensor - Look closely at all of the wiring associated with your ABS system -- the computer is underneath the rear seat on the left side of the vehicle - there are sensors at each wheel, and various connections to the pump, reservoir, distribution block, accumulator bloc, and stuff under the hood.
other - the Bendix system behaves oddly if you release the handbrake before the pump has built pressure - AND if you apply the brakes (foot pedal) while the system is trying to build pressure... if you ever drive with the hand-brake on, the computer also has "issues" (Most of these "other" items are related to the way the Bendix looks at the red "BRAKE" light on the dash pannel for input to some of its input)
and here's the NHTSA recall.
National Highway Traffic Safety Administration Recall 96V260000: ABS Hydraulic Pump Failure
relates to: Chryser recall notice #702
Vehicles equipped with antilock brake system (ABS).
Antilock brake system (ABS) hydraulic control unit can experience excessive brake actuator piston seal wear which could cause pump-motor deterioration.
If this occurs, the ABS function would be lose and reduced power assist would be experienced during vehicle braking. The instrument panel warning lights will signal system impairment and the base manual brakes will remain functional.
Dealers will test the vehicle's ABS and repair as necessary. The warranty on all ABS components will be extended to 10 years or 100,000 miles (except for the brake actuator piston assembly and the pump-motor assembly which will have a lifetime coverage). Owners will be reimbursed for previous ABS component repair costs.
Owner Notification began April 24, 1997. Owners who take their vehicles to an authorized dealer on an agreed upon service date and do not receive the free remedy within a reasonable time should contact Chrysler at 1-800-853-1403. Also contact the National Highway Traffic Safety Administration's Auto Safety Hotline at 1-800-424-9393.