Hi Kenny stag,
Scoot looks good.The brown and purple wires are joined in the junction box.connect +12volt to either brown or purple via AN INLINE FUSE if you don't have a fuse obtain some 5amp mains fuse wire and use a terminal block to connect fuse.The negative lead from battery charger onto clean metal frame..The fuse is there to protect your harness in case you short something out.When I made my harness I dispensed with the junction box and used a terminal block instead

This may help
Left to right Pos 1(brown)and 2 (purple) are joined by a copper wire link in the upper terminal with a red wire going to brake light.4and 5 (brown) lower are from stator 4 and 5, upper are yellow from wassell .Pos 6 is for ign only. Red wires are for indicators and alarm.A red wire also goes to Battery.All circuits are protected by inline fuses.
When you switch scooter off the ign switch shorts the geen wire going to the HT coil to ground (Frame ground)I prefer connector blocks as you can screw wires in nice and tight but purists may not agree.
Hope this is some help
Grandpa