Need help identifying some wires (05 EC250)

[Koko]

Tonight I stripped the my bike down a bit. I want to do some cleaning neglected by the previous owner.

I also would like to add back a headlight as well as a tail/brake light.

Under the seat I found this wire. Yellow, violet and white. I believe this is for a rear tail/brake light?



Then I found these bunched up in front of the gast tank. Two yellow and two violet wires. One pair has "aftermarket connectors" as you can see they're the ones my thumb is holding. I'm guessing possible high beam/low beam or turn signals? If they're turn signals where I my darn headlight wires.



Then I found this cluster of wires as well. I know the round black pieces is the coil. But I have no idea what the smaller black square box is. Everything is connected, so I think this part of the wiring is fine.