99 Contour will not make a sound when key is turned New starter fuel filter and battery is charged Does this model have a starter relay and can anyone suggest a next step?

Can be a defective ignition switch which I suspect is your problem. Not the tumbler you insert the key into but the ignition switch located down under the dash behind the steering column. Can also be a loose or corroded battery cable, or the connections at the starter. There is a starter solenoid that can be bad but it is built into the starter which you replaced.