Statement 1 : Elemental nitrogen exists as a diatomic molecule and phosphorous as tetratomic molecule.

Statement 2 : Nitrogen does not have vacant d-orbital whereas phosphorus have vacant d-orbital.

Elemental nitrogen exists as a diatomic molecule because nitrogen can form $\mathrm{p\pi }-\mathrm{p\pi }$multiple bonds which is not possible in case of phosphorus due to repulsion between non-bonded electrons of the inner core. There is no such repulsion in case of smaller nitrogen atoms as they have only $1s^2$ electrons in their inner core.