I have no power coming out of the plug when the KJ's tail lights are on, brakes and turn signals work.
Fuses,circuits are all seated well and not tripped
Suggestions?

go back to the dealer and make them fix it?

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2007 Jeep Liberty Sport 4x4 3.7L 6spd

• MOABs with Goodyear Wrangler All-Terrain Adventure With Kevlar 245/70R16
• JBA UCA 4.5
• OME 790/948/90009/N32
• Western Suburbanite 7'4" plow
• DetoursUSA Backbone
• HF 12k# winch

[SIZE="1"]WTB: project liberty near N.NJ. stick shift, 4x4, working motor optional, CHEAP[/SIZE]

Check for a blown fuse in your fuse box again. I had the same issue in by 2011 Ram 2500 where I had brake and turn signal lights and no tail lights and it was a blown fuse.

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2011 Ram 2500 6.7L Cummins Deleted w/MiniMaxx G56 HDD 5W-30 & Bypass Oil Filter
2005 Liberty CRD Limited (Cracked Block) Sold
2015 Cherokee Latitude 3.2L V6 (Replaced CRD)
1992 Dodge Stealth RT Twin Turbo Pearl White/Black Leather
2008 Kubota GR2110 Diesel
2006 Key West 186 Sportsman w/135HP Honda OB
1943 Farmall H Restored

Was this working previously or did the dealer just install the plug

If the latter I can tell you two things.

One, yours does not have a factory installed EVIC
Two the dealer didn't install the needed "supplemental" cable

Now you want to know how I know and what the evic has to do with it. Simple. The same wiring that is installed for the factory Evic includes wires to the plug in the rear quarter panel where the dealer installed the towing harness.
Many years ago when us "old timers" were setting up our CRD's for towing this was a common topic.
Now if it has been working then stopped check to see if the power outlet/lighter on the dash works. The signal to turn the power on is piggy backed there.
Then there's supposed to be a fuse out by the battery, that's the power.
That's IF they followed the directions, I wired mine more like a factory install

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Atlantic Blue 06 CRD Limited (his)
Joined by a 2000 XJ Classic (hers)

This is funny, went through the same thing a month ago.

There are two harnesses you need for you trailer, the first has already been installed, it does the signals, and brake lights only. The other harness is listed as only needed if you do not have an EVIC, That's BS, It piggy backs on the first harness, and sends running lights, and 12v to your trailer. Purchase the second harness, install it and your good.