We replaced our battery, it was old and hooked up wrong, positive negative switched. Everything worked great....for 10 hours. Then the Battery completely died again. While it was dead, lights and such would not work from shore power. Which seems to be the issue as the battery is not charging from shore power.
Your lights run off the battery dc side of RV charged by your convertor. Not the shore power.
Check your converter output. The 'Converter' runs off shore power to charge your battery when parked.
If you are not hooked up to shore power to power converter and are using the lights, and/or fans both dc power, it will eventually run the battery down because it is not being charged by the converter.