More questions on inverter and battery charging

There is something missing here. Several parts not identified in the unified system.

Do you have an integrated inverter/charger? Brand and Model:
If not the same unit list the Converter and the inverter?
What solar charge controller do you have?

Agree that the bats are toast but you can try to revive them. If that does not work then replace.

Before you do that, measure output of charger.