WARNING: This page is about a different car, the 2010 Suzuki Kizashi. However, it is still accessible from the selected car via links, so may be relevant.
Fig 1: Keyless Start System Circuit Diagram (1 Of 3)
Courtesy of SUZUKI OF AMERICA CORP.
Fig 2: Keyless Start System Circuit Diagram (2 Of 3)
Courtesy of SUZUKI OF AMERICA CORP.
Fig 3: Keyless Start System Circuit Diagram (3 Of 3)