Depends on how you plan to wire what. All the diagrams are good but will depict too much of something and miss other parts.
I assume you want to power the whole panel with the inverter. Transfer switch has two inputs. For you, inverter and utility power cord. Output goes to the main breaker panel.
You will need the converter connected to a separate breaker to shut it off while inverting. Fridge could go on this breaker also.
Connect the inverter 12v, converter output and the chassis isolator to the four AGM and you are in business. Add 120v and 12v connections as needed.
I assume you have some experience or you should get help.