Ok, I seriously doubt if your 93 Monaco has a 3-stage converter/charger so it probably won't keep your batteries at a full charge. However, most that age, the previous owners have replaced the old style single stage with the newer three stage. Can you give us the make and model of your converter?
All rv's have small amounts of electrical drain on the batteries...even when the disconnect switch is turned off. The only true way to eliminate this is to disconnect the ground cable connection.
If your batteries drain "real fast", then I would assume that your converter/charger isn't charging at all. You need to check the voltage at the batteries' + and - terminals (where the cables going to the coach are connected) to find out. If you are plugged into shore power and if the charger is working, the voltage will read 14+ volts if charging or 13.4 if the charger is in float mode. If you read 12.6 or less, the charger isn't working.
Let us know what voltage readings you find.
Ron