We started having problems starting the Jeep a couple of weeks ago. I cleaned battery terminals, checked starter wires etc. The battery was only 1 1/2 years old. My initial thought was the starter, click, click, click, start.
My wife took it on a trip and it decided to not start at all. Had Auto Zone check it out and they said it was the battery. I wasn't there to question there decision so I told her go ahead and get a new one.
It did it again yesterday. Checked voltage at the new battery and it was 12.82. Alt seems to be putting out OK. 14.4 volts at the bat while running when I could check it.
Put it on a trickle charge all night (13.03 V) and it won't fire at all, just clicking solenoid.
Sounds like a starter issue to you?