Shakes and makes a grinding noise

If thats what they diagnosed and it didnt fix it then yes they are obligated to atleast not charge a new diagnostic fee and maybe refund for that job.

i would be checking wheel bearings.

If the axle shaft and hub bearing are being removed in order to service another component, the axle shaft and hub bearing can be removed as an assembly.

REMOVAL
1. Raise and support the vehicle.
2. Remove the wheel and tire assembly.
3. Remove the brake caliper and rotor.
4. Remove ABS wheel speed sensor, if necessary.
5. Remove the cotter pin, nut retainer, and axle hub nut, if necessary.
6. Remove the hub to knuckle bolts.
7. Remove the hub from the steering knuckle and axle shaft, if necessary.
8. Remove hub bearing and axle shaft assembly, or axle shaft from axle. Avoid
damaging the axle shaft oil seals in the axle housing.
9. Remove the brake rotor shield from the hub bearing or knuckle.

INSTALLATION
1. Thoroughly clean the axle shaft and apply a thin film of Mopar Wheel Bearing Grease, or equivalent, to the shaft splines, seal contact surface, and hub bore.
2. Install the brake rotor shield to the knuckle.
3. Install the hub bearing and axle shaft assembly, or axle shaft, into the housing and differential side gears. Avoid damaging the axle shaft oil seals in the axle housing.
4. Install the hub bearing, if necessary.
5. Install the hub to knuckle bolts and tighten to 102 Nm (75 ft. lbs.) torque.
6. Install the hub washer and nut, if necessary tighten the hub nut to 237 Nm (175 ft. lbs.) torque. Install the nut retainer and a new cotter pin.
7. Install ABS wheel speed sensor, if necessary.
8. Install the brake rotor and caliper.
9. Install the wheel and tire assembly
10. Remove support and lower the vehicle.

Read this guide first, it will help

https://www.2carpros.com/articles/bearing-hub-replacement

Corresponding pictures are attached below

I have run into problems with some aftermarket parking brake shoes. Might be worth trying oem or at least picking up another set and then going to the dealer to compare them.

I have also had problems with some of the less expensive brake parts and ended up having to go to the premium ones that I normally use.

Might want to check the lateral runout and see if the axle may be bent.

OR the linings are too thick. That was they problem I had.A few times. The brand I got.(I think it was Napa) were too thick. The problem was more severe in that I couldn't get the rotor back on.

However if the same noise was there before, Than I would go back to checking the lateral runout to see if the axle shaft is bent and causing oblong movement of the hub.

Check the right rear rotor and see if the pads are wiped out back there.
As far as the transfer case. Check linkage, and oil levels.

Did you re-adjust the cable?

Well if you removed the adjuster and the noise stops, then it has to be a shoe/drum, contact is what I see with this.

One thought is to mist some flat black paint over the shoes, put it together, run it, pull it apart and look for where paint rubbed off. After you resolve it, sand off the light coat of paint.

First, you need to determine if it is stuck in 4wd. It needs lifted (Entire Vehicle) started and placed in gear to see if all 4 wheel turn. Or you could see if it spins in gravel if you don't have access to a lift.

Next, if you only hear the grinding on accelleration, my first guess is the output shaft bearing on the transfer case (rear).

Let me know what you find.
Joe

Doesn't this suggest a contact between the shoes and something. Rotor?

Hello and thanks for donating

Grinding noises can come in many forms and caused by many different things which makes diagnosing it, especially without being in person, very difficult. If you are certain it is coming from the rear of the vehicle then inspect very closely the wheel bearings, suspension components and brake components of the rear. It could be as easy as a loose brake shield or exhaust shield. You can raise the rear of vehicle up and check for bad wheel bearings by feeling for play in the wheels. Also how are the tires wearing? Are they wearing evenly or in certain spots, quicker than normal etc?

Try checking the abs or even the front hub bearing the hub bearing will make that noise