RepairPal Certified shops can diagnose and repair your 2017 Dodge Durango. They provide transparent pricing with a minimum 12-month or 12,000-mile warranty on repairs and services.
Flashing warning lights with the engine not operating doesn't indicate anything. However, of course, diagnostic testing and retrieving any and all diagnostic trouble codes in any of the vehicle modules could assist in the diagnostic process of finding out what is happening here. Also, having that new battery tested for state of charge and the ability to handle a load is important, in the event low system voltage is affecting proper operation.
