Caution: I don't have a 750 wiring diagram, looking at my '75 550 diagram.
My turn signal buzzer supposedly came from a 750 (I have a 550). It is currently in my hand (note: NOT on the bike, sounds horrible) and has a brown w/blue stripe lead and a black lead. That one (coming from the loom side) should be 0V (dead) unless the turn signal is activated, then it's 'flashing' 12V. Is your buzzer still there? It may be the dead line. If your turn signal is lit solid, this would explain 12V solid to the other one. Stuck turn signals can be incorrect wiring, a dead bulb or the wrong bulb (LED..) so there's not enough resistance for the flasher to work (swap out with modern flasher).
Headlight: The high beam lead is blue, low beam white, green for ground. Remember there's a high beam idiot light that connects in; blue from headlight dimmer switch & blue from idiot light on one side & blue from headlight on the other side. White from the headlight switch to white from the headlight. If the headlight comes on when the fuse is pulled, it's wired into the wrong circuit.
My guess is that you won't need a new harness, just sort everything out. Typically, like wires mate with each other. Dissimilar wires are something to look for. Dirty terminals will impact all of this. Loose connections too. I bought a bunch of the proper bullet connectors and found they work great.