I have a 2000 Grand Cherokee, and I’m having 2.23 Amp draw off the battery when the key is off. Leave the door open 2‒10 min., and the battery is dead or not strong enough to start the vehicle. I go to the drive-ins, leave the radio on with the key on “Aux” position, drains the battery. I bought a new battery, and had it replaced. Running out of ideas as to what could be causing this draw.
Checking some Jeep forums you should see about 50 milliamps of load with every thing off. This accounts for radio presets and various control modules. As others have stated while measuring the load pull the fuses one at a time. Your Jeep should have a fuse box under the dash as well a one under the hood. Grand Cherokees may include some courtesy lights under the dash, sun visors etc that may be staying on.