LOL, nice to have a protected work space.
78r100wire.jpgOkay, the tapped up bundle of wires in your hand in the first picture is garbage get rid of it.
The green wire in your hand with two wires going into a 90 plug could be the kill switch and the headlight relay wire going to pin 86 on the headlight relay. Or, it could be the ignition switch and headlight relay.
The clock has a red wire supplying power for the clock, gray/black for lights, brown for ground, green black for volts. The harness is available from EME.
The tachometer and speedometer lighting is gray/black. All the bulbs in the instrument cluster are grounded with a brown wire.
LOL, I am not quite sure what you mean by powered circuit tester? If you mean a continuity checker? Yes it is fine to use one. A test probe light and a voltmeter help as well.
I can't stress enough, work on one color group at a time, So for now, get rid of the tapped bundle of wires with the blue crimped ends.
Start with the green factory wires, like the ones in the second picture.
Yeah, wiring diagrams are an eyeful but really are not all that bad, for BMW.
Just a tip, one side of the circuit board kind of has uncontrolled power coming into it or going out. Those wires most likely are solid colors. They are main lines. Multi colored wires are in circuits controlled by switches or relays, and are auxiliary thing like the turn signal bulb and the parking light. Get the main lines sorted out first then worry about the auxiliary lines. Good luck. St.