Statement I: Bond order is an indicator of molecular stability. A bond order of zero signifies no bond formation between atoms, rendering the molecule unstable and non-existent.
Consequently, this statement is false.
Statement II: An increase in bond order correlates with an increase in bonding electrons, reinforcing the bond and drawing the atoms nearer.
Therefore, bond length decreases as bond order rises. Hence, this statement is also false.
Both statements are erroneous.