To my knowledge, that 3-pin molex connector is for some bezel LEDs in some machines, but I've never seen it used. That smaller connector, I'm not sure what it is, but it's not printer related. For the printer its just the one main cable which carries power and comms. Does the printer make any noises or anything when powering the machine on? Try that self-test method (on my previous post), it should help to prove if there is power or not.
You can find the manual for this printer by searching online "futurelogic gen1 pdf" I'm not sure if I'm allowed to directly link it? It includes schematics and all kinds of info.