Which of the following modifications would require a reconstructed vehicle inspection?

The requirement for a reconstructed vehicle inspection stems from significant alterations that affect the integrity, safety, or identity of the vehicle. Relocating substantial parts of the vehicle's body is a major modification that can impact the vehicle's structural stability, safety features, and overall dynamics. Such changes need to be carefully evaluated by a trained inspector to ensure they meet safety standards and regulations.

When a vehicle's body is significantly modified, it may also alter how it performs in terms of crash safety and handling. As a result, it is crucial for these types of modifications to undergo inspection to verify that they are done correctly and do not compromise the vehicle's safety in any way.

The other options involve modifications that are more cosmetic or superficial in nature, such as removing stickers or changing tire brands, which typically do not require a reconstructed vehicle inspection. Replacing headlights, while important for vehicle visibility, generally does not impact the vehicle's structural integrity or safety mechanisms in a way that would necessitate such a detailed inspection.