That box might cause your car to not start, but it shouldn’t cause the starter to not crank the engine.... unless it’s more complex than a typical electronic ignition....
I would focus on the wires, solenoid, starter & heavy duty grounds first. Get it cranking, then worry about that module....
Rocky
PS. That box is an electronic ignition module, similar to a Duraspark or a MSD Ignition module. I’m not familiar with that module, but it probably means your car has a more modern electronic distributor. It is not the stock ignition configuration for sure.
This would typically mean your ignition wiring is modified in some way.