You may want to check the fuse box
1998 Chevy Lumina Won't Start. Battery, Alternator Tests Good, I Have Also Replaced The Starter. Won't Start, Fans And Lights Come On. What Are Some Possible Solutions?
Your chip in the security system may be defective is the security light flashing if so thats your problem
If it is not turning over you either have a bad starter solenoid or a bad ignition switch.