British bike wiring is not difficult if you realize that there are five separate simple circuits, and you work each one separately. Those are ignition, running lights, headlight, turn signals, and brake light. Let's assume wired as it left the factory. Lets focus on one circuit - turn signals:
For now, remove the two wires from the flasher and connect them together (Light Green/Brown and White) and disconnect the wires to the headlight turn signal indicator light. When you move the handlebar toggle to one side both the front and rear must light on that side. When you switch it to the other side the two on that side must light. They must be standard incandescent turn signal bulbs. The circuit is:
Master Switch Pin 2 > White Wire > flasher (either pin) > flasher other pin > Light Green/Brown wire > Handlebar console Light Green/Brown wire. When the right turn is selected the Green/White wire will have 12 volts and it connects to both turn signals on the right side. When the left turn is selected the Green/Red wire will have 12 volts and it connects to both turn signals on the right side.
If the bulbs don't light as stated, then you either have: bad bulb(s), bad socket(s), miss-wire, bad ground (common on the rear signals), or bad master switch. Correct that before moving on. Once you can select the left or right side and both turn signals on that side light, reconnect the flasher. If the turn signals do not flash, then you have a bad flasher or incorrect bulbs. Once that is fixed, reconnect the headlight turn signal indicator - Green/White to Green/White and Green/Red to Green/Red.
Report back when the turn signals are working and say which circuit you want to work next.