A lot of good advice. Diagnostics require more than indicator lights. Typically a fuctioning system will have ~13.8-14.4ish volts at the battery. There are a few obvious things mentioned (battery, alternator, starter). One thing to check is if the voltage regulator is integrated with the alternator. If not, and voltage is out of whack, look for the regulator.

That being said, I've had a brand new battery be completely dead, so it's a possibility.

Modern auto electronics do not like to hit zero volts. A BMW for example requires a system reboot by an authorized dealer, typically an $800 bill.

If that fails, try googling the issue, if you have this, there are probably a few hundred thousand other Jeep owners who have posted their experiences.