Be sure to do a thorough assessment before going off in a direction. Check the fluid levels in all of the batteries and top them off with distilled water. I found in my new batteries that considerable water was needed. Then, turn on the charger. Your tug, like mine, probably has the Blue Sea analog battery meter located under the gear shift. On mine, battery number 3 is the house battery. Anyway, watch the charging voltage for each battery bank. The charger will start high and then adjust to the needs of each battery bank. When your batteries have settled down after this charge-like in 24 hours, then do your own test of each battery cell with a hydrometer that you can get for under $10 at any auto parts store. Follow the directions on the hydrometer. You may have a bad cell. If so, those batteries are still under warranty and are widely available.
On my tug, when I thought I had a bad engine battery, I really had a very bad ground. I toasted a starter and a fuel shut off solenoid to learn that lesson. A new dedicated, super big ground from the engine block to the engine battery cured a host of small issues. The engine battery was actually fine and has been for a year and 150 engine hours.
So what you first see and think, may not be the real problem.