Which of these items vibrates because a ligth wave has formed?
a. the sun
b. a gravitional field
c. an air particle
d. an electric field

The wavelength of visible light is extremely small - around 500 nm (that's half of 1 thousandth of a millimeter). Its no trouble at all to produce a vibration of this size (amplitude) in just about any object; in fact most things are vibrating this much at various frequencies, due to wind, seismic effects, traffic etc., all the time. It would be more difficult to prevent this than to cause it!

Now to your sound vibration:

I don't know what the "rockit 2" is but I think I understand what you're saying. The wavelength of sound in air (which is where we usually encounter it) is quite long - typically around 20cm. You cannot normally make objects vibrate at this amplitude unless they vibrate very slowly - say a pendulum at 1 Hz. At such a low frequency the vibration would produce no audible sound. Sound is produced by a relatively small amplitude vibration (say 0.1 mm) being transferred to the air where the wavelength develops. The wavelength of sound in air is not the same as the amplitude of vibration of the object causing the sound; the object vibrates far less!!

Finally, the vibration of an object is not related to its light emission. Light is an electromagnetic vibration in which electric and magnetic fields vary. The physical vibration of an object will transfer pressure waves to the air which provide us with sound; no air no sound. But light can travel through space. So you can vibrate objects to your heart's content, you will not change their colours. Neither will you produce any light by mechanically vibrating an object (unless it is magnetised or electrically charged)

Explanation:

see below  

explanation:

all of the above