As ScottG said, test the circuit breaker poles one at a time with the meter positive on one of the threaded poles of the breaker and the negative lead on the negative terminal of the battery. Then take a reading of the battery positive to negative. You should get the same battery voltage when testing at all three places (battery positive and both poles of the breaker)
Once you have found all the voltages, have someone turn on enough loads to get the power to fail. Then go check the posts of the circuit breaker to the negative terminal of the battery. I'm betting you'll see battery voltage on the upstream (battery side) of the breaker and zero volts on the down stream side of the breaker indicating a tripped breaker.
If the breaker is tripping you can try a new breaker, they are available at most auto parts stores. But buy the same size as what is marked on the original circuit breaker, do not try to make it last longer by putting in a breaker of larger capacity.
One more thing, you'll want to disconnect or cover the solar panels so you don't get any false readings at the circuit breaker with the sun shining.