The correct options are
B The average kinetic energy of the molecules of both A & B are the same.
D Both A & B are at the same temperature.
Heat is a form of energy that flows from a body with higher temperature to a body with lower temperature. If two bodies have the same temperature, they are said to be in thermal equilibrium. If two bodies have the same temperature, it infers that the average kinetic energy of their molecules are also the same. Heat flow only depends on temperature difference, it doesn't depend on the amount of heat energy possessed by the objects.