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Either broken wire or disconnected wire to the left hand control or your flasher relay died. Then the left hand blinker control could have a broken wire or connection inside it.
Have a volt meter and a wiring diagram? Not too hard to trace the wire.
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Wiring diagram is available if you search here or on web or in a Haynes, Clymer or Suzuki manual (you really should have one of them). A meter is like $10. You only need a cheap-o one.
Possibly bad connections in the hand control OR the connectors so follow those wires from it and check the connector. Since you fiddled with it, it makes it look suspicious.
Possible the flasher relay. If you have a friend with a bike, take a minute and swap them. If problem goes away - that's the culprit. Could be a dirty connection on the flasher relay.
A manual is really handy so you can trace wires and know where things like the flasher relay are hidden. Well, the manual in general is a really good thing to have.
Just whoreing in to say I agree with above and check the indicator bulbs while your at it too.
Test the relay its simple....pull the plug off it, short the orange and the blue cables in the plug and flick the switch, if the lights come on steady the relay is shagged.
Stop fantasizing about shagging in relay or this will end up in the tard farm!
agree on the manual .. Spent over a week (maybe 2?) trying to trace a headlight fault .. Got some help from adidas and others .. Got a multimeter .. But got manual finally .. Looked up diagram .. 1 hour later Ta Da! ..
And my personal cure spot was the yellow plug connection under right side of tank .. Lots of lights wires pass through it .. Slagged wire for headlight so i bypassed it .. Think it was made worse and or created by plug being too low and near engine .. So i also cable tied the sucker up higher and snug on frame... But deffo check that plug as part of the program .. Take the tank off to find it
Hey.....I could think of and use some even less PC terms to describe "something that no longer functions as the maker intended" if you wish :D