I would open up the circuit breaker/fuse box and find the charge fuses. I'm betting they're bigger than the other fuses, probably at least 40 amp fuses. Pull each one and look for a burnt fuse. You can also pull them and check for continuity with your meter to see if they are blown.
Or find a ground in point near the fuse box and then check each fuse for battery voltage on each side. you'll notice that there are two holes in the back of every fuse right next to the amperage rating that you can poke the positive lead on the meter into, Each hole is the back side of one of the fuse blades. Put your positive lead in a fuse hole and the negative lead to a ground. If a fuse reads voltage on one hole and no voltage on the other hole the fuse is blown. If you get no voltage on either hole it's most likely that your grounding point is no good.
If no fuses are blown check if your charge fuses are reading 13+ volts. If so then your charger is probably good and you likely have a bad circuit breaker on the tongue by the batteries.
Follow the positive lead from the battery to the trailer. If there is a little box with two terminals in the wire it's likely a circuit breaker.
with the trailer plugged in check that the voltage is the same on each post of the breaker. if different like 13+ on one side and battery voltage on the other, the breaker is bad. They are available at any auto parts store for less than ten bucks.