Ok, I'm a little confused. You've seen 3 states to Florida by tow truck? What does that mean? You had to raise your jack by a crane? Really? And your battery gauge shows 10 amps? And then it shows 14? You have an ammeter? I'm assuming, since this is an on going problem, you know what you are talking about, but I also have to assume you're talking about volts...not amps. Please clear that up for us.
Obviously, you have a large drain on your batteries. I would turn off all the breakers and then measure the voltage on your batteries (if they're charged it will read about 12.6 volts) and if you have an ammeter (which the above shows that you do, and if you don't, then get one), then measure the amperage draw at the batteries with just one breaker turned on. If no amperage draw, turn that breaker back off and turn on another. Eventually, you'll find which breaker causes the amperage draw and knowing what the breaker supplies, you should be able to determine what is drawing down your batteries.
If (I'm assuming again) you are actually measuring voltage (not amps) and it shows 10 vdc, the batteries are dead. If it shows 14vdc, then something is charging the batteries (converter/inverter/charger or alternator). A full charge will be 12.5 or 12.6 vdc with nothing on. If the converter/inverter/charger is indeed charging, once the batteries are at full charge, you should see about 13.4 vdc.
I hope I'm not insulting your intelligence by this reply...just trying to figure out exactly what you are talking about,
Ron