Are the average kinetic energies of water and ice molecules the same if ice and water have the same temperature?

Are the average kinetic energies of water and ice molecules the same if ice and water have the same temperature? Are the internal energies of ice and water the same in this case? Why?

The average kinetic energy of movement of molecules Ek is determined by the formula: Ek = 3 * k * T / 2, where k is Boltzmann’s constant, T is the absolute temperature.
Since the temperatures of water and ice are the same, their average kinetic energy is the same.
The internal energy of 1 kg of water is greater than that of 1 kg of ice at the same temperature by 3.4 * 10 ^ 5 J. To convert 1 kg of ice into water at the melting temperature, it is necessary to inform the ice of 3.4 * 10 ^ 5 J of thermal energy ( specific heat of fusion).