If you don't have a multimeter (voltmeter) you really need one to measure the battery & converter voltage. We will be guessing as to what the problem is w/o having voltage measurements.
First is, when plugged into shore power or on generator the voltage at the converter and battery should be about 13.4V, that is the voltage the converter normally puts out.
Also measuring the battery voltage when off of shore power/generator is important. Fully charged batteries will measure about 12.6V.
Here is some reading which covers the basics of RV elect, battery & charging:
The 12volt Side of Life (Part 1)
The 12volt Side of Life Part 2