If you haven't already verify the Voc of 6 panels in series, adjusted for the coldest possible temp is below the 250 volt max. Any breakers on the PV inputs should be rated to the Isc of your panels multiplied by 1.56, this is also the required ampacity of the wires, likely 10 AWG is all that will be required. No breakers or fuses are required, you can use simple disconnects if you want. You should have a disconnect before the wires enter the building and one adjacent to the inverter. A ground wire should be run from the solar panels with the PV input wires and be bonded at the inverter or main panel. All solar panels, and metal of the solar panel mounts should be bonded to this ground wire, 6 AWG ground wire is required where exposed, 10AWG is ok when in cable or conduit.
Your batteries have builtin in breakers no separate fuses are needed. For a 2 battery configuration as pictured run 1 AWG wire between the batteries and a 2/0 from the positive on the top battery and the negative on the bottom battery to the inverter. You could also run separate 1 AWG wires from each battery to the inverter. if you add any more batteries you will want all batteries and inverter to run to a bus bar. Batteries and any enclosure should be bonded to the ground in the main panel.
Use 3 or 2 AWG wire for the run to main panel. Line can be split with a Polaris block or similar to feed both sides a 2 pole 40 amp breaker as the main, no other 2 pole breakers are allowed in the main panel, 120 volt loads only.