engine light came on then went to start again would not start

If the check engine light came on it signifies the computer in your car saw a fault and that fault is recorded in the computer of your car. Your Suzuki has on Board Diagnostics level 1 (OBD1). I suspect a key engine sensor has failed, the computer in your car takes in signals from sensors on the engine processes them and then decides how much fuel and when the spark should be sent to each spark plug. Follow this link on instructions to retrieve codes. http://www.troublecodes.net/suzuki/