Key Fob - Push to Start Problem

Key fob worked to open car last night, but car would not start. Tried placing key fob directly on start button. It turned amber. Replaced battery in key fob and returned to vehicle the next day. Key fob would not open car. Car would not start. Tried jumping the battery, car would not start.

Anything else to try? Closest Mazda dealership is 40 miles away.