Statement I: Bond order is an indicator of stability in molecules. A bond order of zero means there is no bond formation between the two atoms, hence the molecule cannot exist in a stable form.
Therefore, this statement is false.
Statement II: As bond order increases, the number of bonding electrons increases, strengthening the bond and pulling the atoms closer together.
Thus, bond length decreases with increasing bond order. Hence, this statement is also false.
Thus, both the statements are incorrect.