It looks like your controller may have been designed just for Kellyware and may not be suitable for Mach3 operation – it certainly does not appear to be one of the current, commercially available, controllers.
However, it is driven by the parallel port so check in Windows Device Manager for the LPT parallel port address and make sure this address is entered for Port 1 in Mach3 and that it is enabled (it is typically 0x378). Then in Config. / Ports & Pins / Motor Outputs enable just one axis then try every combination of output pin numbers for the Step and Direction also Step Active High / Low (with Step and Direction Ports set to 1) and see if you can get any axis movement.
It’s a long shot but who knows ?
Tweakie.