The running lights on the TM are powered directly form the tow vehicle, so the fuses in the TM are unrelated to their failure. If the running lights in the car still work, it is likely not a fuse problem in the tow vehicle, either.
The light bulbs are all wired in parallel, so if one running light bulb fails, it has no effect on the other running light bulbs. This is not like an old-fashioned Christmas tree string.
If the running lights used to work, and have now failed, CycleGuy probably has the right answer - the Bargman connector is not making good contact. It is easy to take a small screwdriver and bend the contacts so that they connect more surely.
Bill
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