Starting problem

When you get the crank no start is the security light on or flashing?Sound's like a bad ignition switch. To verify you will need to use a test light to see if you are getting power to the small trigger wire on the starter.

Hers a guide on using a test light

https://www.2carpros.com/articles/how-to-use-a-test-light-circuit-tester

https://www.2carpros.com/articles/starter-not-working-repair

Do you mean it cranks and will not start or won't crank at all/nothing-

No Crank:

Your possible causes could be the ignition switch, park and neutral switch, starter relay, and starter itself

Cranks but will not start-could be a fuel or spark problem: Do below

Get a starting fluid or ether and spray into the carb or the throttle body on an EFI. Did it start and die? If not disconnect a sparkplug wire or 2 and ground it to the engine -have helper crank engine over-do you have a snapping blue spark? If so-you have a fuel related problem, check the fuel pressure to rule out the fuel filter/fuel pump/pressure regulator and listen to the injector/s are they pulsing or hook up a noid light. No snapping blue spark continue to troubleshoot the ignition system-power input to the coil/coil packs, distributor pick-up coil, ignition control module, cam and crank sensors- Note: If it doesn't apply disregard it

Just becuase lights are on doesn't necessarily rule out battery issues. Have your battery and alternator tested (for free) at an auto part store such as AutoZone or O'Reilly's. Also ensure that the battery terminals are not corroded and that they are tight.

Post your results and I will follow up.

When it doesn't start does it crank for a second then stop cranking?Is the security light on when it doesn't start?

It sound's like a bad ignition switch Go to a place that can read your body control module code's if you have a B2960 and or a B3033 then you need to replace the ignition switch. Real common for that car there easy to change.

When it doesn't start does the security light stay on solid or flash?If so have them scan your body control module for codes if you have a code B2960 and or B3033 then you need to have them replace the ignition switch pretty common on those car's.

Try this, Engine does Not Crank - Starter Solenoid Does Not Click - Monitor Ignition Accessory Voltage - keywords DTC DTCs no start On rare occasions, the ECM may not command the starter relay on, resulting in an engine no crank concern with no DTCs. When in the crank position during the concern, the Starter Relay Command on the Tech 2 will display "Off" even though the Crank Request Signal displays "Yes".

Recommendation/Instructions:
If the SI diagnostics do not isolate the cause of this concern, monitor the Ignition Accessory Signal Parameter on the Tech 2 during the concern. This parameter should display "Off" when in the crank position and "On" when in the accessory and run positions. If it reads "On" while in the crank position, monitor the accessory voltage circuit from the ignition switch to the BCM during the concern. If voltage is present on this circuit when in the crank position, inspect the circuit for a short to voltage with both ends of the circuit disconnected. If the circuit is not shorted to voltage, replace the ignition switch for evaluation.

Post back if this works, or what you find.