None of the wiring diagrams here show a red/white wire going to the turn signal switch.
http://suzukisavage.com/cgi-bin/YaBB.pl?num=1294779818My Clymers manual only goes out to 2004, and it shows the same.
I can't see the color of the wire on the far left terminal, but it could be green.
darn.. you got me curious now. I'll go outside and look at mine when it gets light out and if it isn't raining and if I don't have work to do.
My 2002 has a McGyver'd 2006 left switch bank on it, so it might look like yours.
What makes you think you have something broke? You didn't really say what was wrong.
As others said, the rear turn signals are turn signals only. Single filament bulbs.
Front turn signals are turn signal and running lights. Dual filament bulbs.
Anyway. Welcome to SuzukiSavage.com. I am also in San Antonio, so if you need local help, I might can do that. Could also hook up to go riding some time!