For a point particle, Translational KE is rotational KE:
$$\frac12I\omega^2=\frac12mr^2\omega=\frac12mv^2$$
The formula for rotational KE ($\frac12I\omega^2$) is derived by adding up the KE of each particle in a rigid body in pure rotation. When body has both rotation and translation, we can derive that:
$$KE=KE_R+KE_T=\frac12I_{com}\omega_{com}^2+\frac12mv_{com}^2$$
In this case, the point particle has no $\omega$ about its center of mass, so no problem. Though we can still apply the pure rotation formula.
Just that we can't say it has both rotational and translational mortion.
Maybe a better distinction to make would be between rotational motion and orbital motion. Even in that more generalized case (orbital could be something other than circular), the properties used to describe and analyze the motions are the same: axis of motion, angular momentum, moment of inertia, kinetic energy, torque, etc.
There is not a bold line of difference between the two, but generally, rotational motion refers to objects which are extended (not points) and spin about an axis which either within the material of the object or is not farther from the center of mass than the farthest dimension of the object.
Orbital (or "circular") refers to the motion of an object, which may or may not be spinning around an internal axis, around some point far from its center of mass and either repeats a path or nearly repeats a path (e.g., Mercury). More generally, the path doesn't even need to repeat because there are open orbital paths which astronomical objects routinely take.
One could say that rotational motion of a solid object is the orbital motion of thousands of particles, all moving about the same axis with the same angular frequency.
Don't get concerned about the distinction between rotational and orbital; it's not hard and fast. But you should be careful about using circular because that is very specific.
Best Answer
"Circular motion" usually refers to a point mass (or an object small enough to be considered a point mass) moving along a circular trajectory. An example would be a ball being swung around at the end of a rope.
"Rotational motion" usually refers to a larger body changing its orientation in space. An example would be a wheel turning on a fixed axis, or the tumbling of an object as it falls freely. If the axis of the rotation is fixed, then every particle in the body is in circular motion, since every point moves along a circular path.