Bought a car at a local dealer. I had the car serviced at a dealer an inspection that was to be done at 5yrs was not cancelled my warranty can I sue

I purchased a car at a local dealership. I took it to another dealership for routine maintenance. An inspection was to be completed at the 5 year anniversary. It was in the dealership within 3 days of this date and needed service but they failed to inform me or perform the inspection. They have now cancelled my lifetime powertrain warranty and will not perform needed repairs. They stated that it was my responsibility to inform them to do this specific inspection. The dealer said the manufacturer should have informed me, the manufacturer said the dealer should have informed me but ultimately I am out because they failed to do this at a routine service. I also purchased a lifetime powertrain warranty that does not cover the powertrain. I filed for arbitration with Chrysler and they returned the forms and denied this service. I feel that I did everything within my power to comply with the service needs for this vehicle by using a company dealership to perform all service on this vehicle.