$(B)$ Bond energy of sigma bond is higher than that of $pi$-bond as sigma bond is stronger than pi-bond. Option (B) is in correct.

$(c)$ Free rotation of atoms about sigma bond is allowed but not in case of $pi$ - bond. Hence, option (c) is correct.

$(D)$ A sigma bond determines the derection between carbon atoms, but a $pi$-bond has no primary effect in this regard. Hence, option (D) is correct