Unfortunately all of the responses are just well-meaning guesses. This is completely a result of there being no information. Yes, you have a new transmission, but as I recall, this is an old coach.
How old is the house bank and what is it precisely?
Also, what is the make and model of your converter/charger?
A voltmeter can provide very little information. A hydrometer or refractometer can give better, but those only provide information this moment. The age of the jars and how often they have been deep discharged may have a lot to do with your current situation.
What ever you do, if you do not try to charge the bank to full and let it sit => Disconnected<= before measuring anything, you will never get an answer that is worth anything. When you do that, come back and someone should be able to tell you how much trouble you are already in.
Matt