Heat of vaporization and heat of fusion are related to the strength of intermolecular forces. Within a group, the elements have similar properties, including the types of intermolecular forces holding the atoms/molecules together. However, as you move down a group, the size of the atoms/molecules increases, which increases the strength of the dispersion forces between the atoms/molecules.
For groups 13 and 14, the reason for the break in the trend is due to a change in the nature of the intermolecular forces (at the top of the group the elements are nonmetals whereas at the bottom the elements are metalic). I don't know why group 2 would disobey this trend, however.