The fact that it is staying on even when the trailer is not connected is strange. According to the installation details linked for reference, if the trailer is connected to the tow vehicle, the yellow charging light will always be on. The light stays on just to show that the unit is connected and has power.
Since it is staying on, it has to be drawing power from the break away battery. The box is water resistant but not water proof. Moisture or corrosion build up in the box or wiring could... view full answer...