Step 1: I: CO₃²⁻ C is sp² → correct. II: -2 charge delocalized over 3 O, average 0.67 → correct. III: Resonance hybrid has three equal bonds, not one single and two double → incorrect. IV: All C-O bonds equal length → correct. II & IV only.
Step 2: Write the final answer. \(\boxed{\text{II \& IV only}.}\)