The correct options are
B positive work is done by the atmosphere on the ice-water system
C internal energy of the ice-water system increases
During melting, of a slab of ice at 273K at the atmospheric pressure, the ice is about to convert into water on slight increase in temperature. The internal energy of water is higher than that of ice. As a result, internal energy of ice-water system increases. Also, the volume decreases. So work done i.e. −PΔV become positive.