I have to tackle wiring on my car soon.
All you need is the AE86 wiring diagram to figure out what colour wires do what. Basically all you should need will be:
white- 12v batt
black/red- 12v ign
black/orange- 12v ign same as above but just a different circuit, you can use either.
white/black- earth
black/white- start signal
I can't remeber the colour of the charge light but that should get the car running but no water temp, oil pressure, etc.
I have looked at the Nissan side of the but I can't remember any of it. The S13 manual should be pretty easy to find on the net. You don't need the fusebox, just a coulple of relays and crimp conectors from supercheap should be enough.