It won't start, the lights are dim and I cannot remove the key fob.

Remove the LED lights. They cause radio interference and screw up key fobs.

You can't do anything ,unless you have diagnostic computer . Check codes , program key etc.... Call a mobile lock smith or have towed to the dealer .

Details would help. Make? Model? Do you mean it starts fine from the key fob remote, or by using jumper cables? If from key fob, what do you mean it seems dead? Using key in car does nothing? No click? Try turning on headlamps and then use key to start. Do headlamps dim? No? Could be bad ignition switch (rare) or some wiring/fusible link.

First things first...replace the cheaper part first, the battery. It that works, great! If not, then you may need a new key fob then have it programed to your system.

Try not using the fob at all open the door with the key. And start the jeep if it works without issue then its the fob. If its still not working correctly remove the battery from the fob and try again(since if it was damaged could be sending the signal for the panic button) the next step is the key try your spare security key can become worn and cause issues with the antitheft system. After that it only leaves computer problems and those can get spendy

battery dead.

The 'Keyless Entry & Burglar Alarm System" is activated. You must 'Disarm' the system using the Keyless Entry Remove (Key Fob) to "Reset" the system. The reason the engine won't start is due to the burglar alarm - it has a "Starter Kill" circuit which is activated when the alarm is activated. The alarm must be DEactivated to DEactivate the 'Starter Kill' circuit.
Another way to start the engine is to get in the car, put the key in the ignition and turn it to 'ON" and wait 3 to 5 minutes until the emergency flashers stop/turn off. Afterward, you should be able to start the engine. NOTE: This does NOT reset the burglar alarm. It will go off again when you enter the vehicle without using the remote/key fob.

Does the red light on the remote light up when you push any of the button
if no, replace remote
if yes, then try repograming the remote to the car again.
-Have remotes' ready. if you have two then fob#1 and fob#2 (doesn't matter which one is #1 or #2)
-each step has to be done within 5 sec or it will not work, but don't do it super fast.
1.turn key just to the "on" position (not starting) and push "lock button " on fob#1 once and release
2.turn key off
3.turn key just to the "on" position (not starting)and push "lock button " on fob#1 once and release
4.turn key off
5.turn key just to the "on" position (not starting)and push "lock button " on fob#1 once and release
6turn key off
7.turn key just to the "on" position (not starting) and push "lock button " on fob#1 twice (if you only have one fob, then stop here and go to step 8)and push the "lock button" on fob#2 twice.
8.turn key off and remove key from ignition.
if you did it right, remotes' should work again.
good luck

First thing, does the red light on the remote light up when you push any of the button
if no, then replace battery inside remote
if yes, then try repograming the remote to the car again.
-Have both remote ready. fob#1 and fob#2 (doesn't matter which one is #1 or #2)
-each step has to be done within 5 sec or it will not work, but don't do it super fast.
1.turn key just to the "on" position (not starting) and push "lock button " on fob#1 once and release
2.turn key off
3.turn key just to the "on" position (not starting)and push "lock button " on fob#1 once and release
4.turn key off
5.turn key just to the "on" position (not starting)and push "lock button " on fob#1 once and release
6turn key off
7.turn key just to the "on" position (not starting) and push "lock button " on fob#1 twice (if you only have one fob, then stop here and go to step 7)and push the "lock button" on fob#2 twice.
8.turn key off and remove key from ignition.
if you did it right, remotes should work again.
good luck

Any chance the batteries are dead in both of them? There's a little light on your key fob. Try locking/unlocking and watch the light (it's red) if it's dim or not lighting up then your battery (inside your key fob) is dead. They take CR2032 watch batteries.