Shift lock solenoid could be the problem , or brake light switch ,or shift lock relay . Your vehicle has a safety system known as shift lock or interlock , what ever suzuki calls it . It will not allow the shifter to move from park to any gear unless drivers foot is pushing the brake pedal . You can view wiring diagram here at
http://www.bbbind.com/free_tsb.html Enter vehicle info. year , make , model and engine size .Then under system click on transmission / transaxle . Then under subsystem click on transmission controls , hit the search button , the click first blue link . At the top of the diagram an on the right side you will see shift lock relay ,Then down near the bottom on the left side you will see the shift lock solenoid . You could test these with a volt meter ,do you have an know how to do that ? Where is your shifter ? on the floor or on the steering column ? You will need to disassemble parts of your vehicle to get at these parts .So check the relay first , do you have a owners manual ? Should tell you the location in there .
