Grease slung on the inside front right tire

Most clicking/popping noises when turning indicate a bad ball joint in the front axle. The CV joint has a boot over it that will eventually rip, causing the grease inside to be slung out. Dirt and moisture will get in there and cause the smooth joint to pop when under stress, like turning.

Sounds like bad cv axle.

Sounds like a torn C/V boot. That would be grease being slung out as it spins.

if the clicking noise happens when turning the wheels while driving, the most likely problem is the output axle shaft ( drive axle ) when the boots rips you loose grease and they start to grind and clicking and brake away. ( recommended to bring to an auto repair shop ) roughly price on drive axles are $125 for the part and 1.5 hours labor.

Now, if those noises could be duplicated without driving ( just moving the steering wheel side to side ) it could be a bad ball joint or pitman arm.

I really don't think that the brake light is related. I would go straight to your mechanic and avoid all pot holes and drive slowly.
Good luck.

You should be able to tell if the leak is
from inside the steering rack bellows (Boot)

If you see there is--- no fix-- as the rack is rebuilt in a factory
not serviced on car.

May just be a leaking steering hose

Next to the tire is the drive axle boot & just grease inside
Unfortunately you have to remove the axle to clean cv joint
add new grease & boot kit or 90% of the time replace the
axle as dirt has ruined it

Vibration, usually upon acceleration? Sounds like the passenger side axle may be (possibly)wearing as the clearances inside the axle wear out, creating excessive movement when under a load (acceleration). Usually a rapid vibration that increases as you speed up.

Vibrations are tough...

I'd start with seeing if vibration is there at all speeds...I'm assuming vibe is felt thru steering.
Usually vibes at different speeds can be tires. (bubbles or worn)
Vibes at all speeds can be tires, rims either out of balance (slung weight or dirt inside rim) or warped wheel (curb tap).

I'd check your tires, rims and alignment first...then move to possible warped rotor where brake caliper may catch a little.

Hope this helps...

A CV boot will generally not cause a wobble. If the boot is not cracked open there is plenty of grease inside. If the boot was leaking grease you would see it slung all over the back side of the knuckle, brake caliper, and inside of the wheel.

If the steering wheel is moving back and forth at slow speeds the first thing I would check for is a separated tire or a bent wheel. If you feel the tread of the tire it should feel smooth all the way around. If there is a high spot or bump it is separated.

The easiest thing to do is have the tires balanced. Tell them you are getting a wobble in the steering wheel. They will inspect the front tires closely and if they find an issue have them show you what they found.

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

If it 4x4 check cv boot for a tear . Or the cause some one pump more grease in the lower ball joint than need

Sounds like the tires are hitting the wheel wells. THis is Deadly.

Do you have oversize tires on the Jeep? Is your front axle drive engaged? Is it slung low to the ground like a low-rider? Any of these can cause 'lockup' in the front end when turning. If not, I would have the U-joints, CV joints and drive linkages checked.