Do you have a multi-meter? If not you can pick up an inexpensive one for about $15. Turn on the head lights of the truck and probe the truck end of the 7-way to check if there is power on the tail light pin.
If that checks out the issue is on the trailer. If there is no voltage on the truck you'll need to track down the wire or fuse that's faulty.
To check the trailer use a 12V battery to apply power and ground to the trailer end of the plug and see if the lights come on now:
If you still have no running lights, do as BB_TX said; open the junction box and find your ground and tail wires. Apply 12V and ground and see if you now have running lights.
If powering the plug gives you running lights the problem as to be with the truck. If the plug fails but you get lights at the junction box you need to either install a new 7-way plug or replace the umbilical. If neither the plug or the junction box gives you lights you could have an issue like Linnemj mentioned and have a bad ground or + wire in a fixture. As he stated, the tech had to go to each fixture until the problem was found.
Sorry there's no quick answer. This is just a process of elimination until the problem is found.
KJ