Considering the age of the bike, there may have been a lock change at some stage (especially fuel cap) however a second key should be for the fork lock, not the fuel cap. Ignition, seat and fuel cap are usually the same key. The site link below is for a steering lock for your bike...ckeck the key shape with yours. Hope this helps, second link is for your bike with diagrams and part names in sections, steering stem section provided the first link with the lock, cheers
http://www.cmsnl.com/products/lock-assysteering-neiman_5190022662/
http://www.cmsnl.com/suzuki-ls650-1996-pt_model13826/partslist/
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