A Z80? Wow!
What numbers are on the devices bolted to the heatsinks on the middle board?
What you have is effectively a printer. HPGL is a printer/plotter control language and with the right (generic) drivers you ought to be able to simply print to your engraver from any graphics package. (Best results will be from vector graphics software).
A quick Google suggests that Inkscape will output HPGL.
Alternatively, if you want to control the machine as a CNC machine using EMC2 and G-code you are looking at a complete retrofit, replacing the motor drives and controller (but you should be able to retain the motors and encoders).
Deciding the best way to retrofit does require knowing what the motors are (stepper or servo). The fact that I see 4 tracks to each motor on the backplane makes me suspect stepper, but one could easily be an earth.