You replaced one battery?
Your MH had only one house battery?
My uncle's 2010 Thor had four batteries, two for the diesel and two 6v in series for the house side
Very unusual for a late model RV to have only one house battery
Make sure Everything that can run on battery power is turned off
This included fridge Ice maker, if you have an inverter for 120v
Make sure Everything that can be is on propane
What you describe can be a constant on heavy load
Or a second parallel bad battery
Lights on in the basement storage
Also the battery isolator diodes or relay could be bad
So no charge while driving
You would be hard put to burn out the 30 amp shore plug charging batteries
Are you using a 15amp duplex adapter ? If so you MUST LIMIT your power use
Forget using an electric heater, you can't do that and charge batteries and do other things..too much power too many amps
Btw I leave the engine running, until I'm level
There is no good reason to draw off battery power only..while getting level
before somebody starts..I said nothing about slides
Some Mfg say level then put slides out, some say slides out then level
Leaving the engine running while leveling, or slides out in,
Allow the engine alternator help supply power to the hydraulic pump