Which of the following statement(s) regarding molecular orbital (MO) theory is/are correct?

Pairing of electrons during the formation of a molecule is not necessary unlike VB theory as in $O_2$,$B_2$, etc. Dicarbide ion has one sigma and two pi bonds.

Electronic configuration of B₂ is $\left(\sigma 1s^2\right)\left(\sigma *1s^2\right)\left(\sigma 2s^2\right)\left(\sigma *2s^2\right)\left(\mathrm{\pi }2{\mathrm{p}}_{\mathrm{x}}^1=\mathrm{\pi }2{\mathrm{p}}_{\mathrm{x}}^1\right)$

Electronic configuration of Li₂ is $\left(\sigma 1s^2\right)\left(\sigma *1s^2\right)\left(\sigma 2s^2\right)$

Bond energy of $H_2$is more than $L{i}_2$ due to small size of H-atom.