If it is original battery it may well not be OK - when you say no power to ignition do you mean it turns over but will not start because no spark, or does not turn over - does the headlight come on when key is in 'on' position ?
Try the kill switch ( I never use it because when I did on a couple of bikes it gave problems and needed a bit of fiddling (taking apart and fixing) to get it to complete the circuit again, I just turn the key off now to stop engine ).
There are a few switches in the ignition circuit, ( one on the clutch lever - maybe only on L7) and one on the prop stand as well as the kill switch by throttle grip.
try this wiring diagram for SFV..
http://www.classiccycles.org/media//...a0ffffe415.pdf