Do new cars being transported on a car carrier have kinetic energy; when a car is being towed does it have Kinetic energy?

The short answer to your question is yes, they do. The
explanation of that answer involves relative frames of reference. Kinetic energy is the
energy of a moving body, and is usually calculated as KE = 1/2 mass x velocity^2. In the
case of the cars, each would have kinetic energy equal to 1/2 of the car's mass times
the car's velocity squared, regardless of how the velocity is being
reached.

Whether something is moving and how fast it is
going is actually a complex question, since the entire universe is expanding and
therefore everything in it is moving somehow. In order to simplify physical mechanics,
the surface of the Earth is generally regarded as a fixed plane for the purpose of
calculation. The common physics convention is that you should use the Earth as a fixed
frame of reference unless there is a stated reason to do
otherwise.