Check for power at the starter. If you don't have power this could be an ignition issue. Hands on electrical testing is needed.Use this link to find a good shop near you.
https://repairpal.com/repair-shops
Alex
RepairPal Certified shops can diagnose and repair your 1996 Oldsmobile Cutlass Ciera. They provide transparent pricing with a minimum 12-month or 12,000-mile warranty on repairs and services.