ALARM GOES OFF AT NIGHT

Reset the alarm system lock and unlock all the doors twice.

I do not know how to "fix" the problem to make it right, but you can disable the alarm through the relay box or fuse box. You'll lose the alarm, but can lock the car. Several may be labeled "Alarm and... try to find one that is the alarm alone or something significant, if possible. Not an answer, just an Idea.

the little switch in the tailgate. it's the controller for the lock and the feed for the alarm, https://www.ebay.ie/itm/Lock-tail-gate-Jeep-GRAND-CHEROKEE-3-WH-WK-62623-88577/352047650913?hash=item51f7acd861:g:bGYAAOSwsYpaTNYL

u seem to hav a computer/module system issue--get a data stream run that shows values so a good tech can decyfer-need factory gear not a 20dollar scanner--stay away from dealers-------1st tho try anothr remote or changn batts--or even disconnect car batt fora minute

You need to reset your alarm system and the only way I know how to do that is to disconnect the battery and reconnect it.

alarm remotes not disarming system look in manule for instructions on how to place alarm in valet mode
to disable alarm

You may have left a door half open, or have a bad door switch. Until you find out what the problem is you can manually push your door locks with your hand to lock them without arming the alarm and still have your vehicle locked, and not have to worry bout hte alarm.

Have your battery checked for shorts. Mine was defective on a new Lincoln. Same problem. Even sat in it at 18 degrees one night to appease neighbors whom my alarm woke up.
Check connections at every possible point if the battery tests good.
Get up 30 minutes before alarm usually goes off and see if neighbor has loud car or slams his car door. Motion sensors can set it off too.

this happened to me recently with my 96 grand cherokee. the battery got drained by the alarm going off randomly at night. i pulled the fuse for the horn so at least my neighbors would only be bothered by flashing lights. then i couldn't jump the car because the alarm was still going off. i hooked my car to jump it to another car, and then i had to deactivate the alarm first by putting my key in the driver side door and unlocking the car. then i left it hooked to another car and still getting power but didn't jump it for at least 5 minutes in case the computer needed to reset. then it jumped fine. from what i've read online, this is a common problem that can be avoided if you stop using the power locks and always manually lock and unlock the doors with your key. its a little annoying, but apparently the power locks are connected to the alarm issue. hope the same works for you.