rakshasa

More or less. Remember that linear velocity is composed of both speed and direction. Therefore, although points at the same distance from the center would be moving at the same speed, since they would generally be moving in different directions they would have different velocities. In fact, since speed is determined by distance from the center, and direction of movement is determined by angle from some origin, at a given instant in time every distinct point on the disk would have a different linear velocity.

Angular velocity is just the disk's rate of rotation and therefore is the same at every point on the disk. I'm not totally sure if the center point of the disk is considered to have the same angular velocity as the rest of the disk.