He should sue to get it fixed if they don't fix it, but I believe he'd have to show evidence of harm if he were to sue for damages.
Edit: I think the harder part would be showing that people would believe the claim (which legally is separate from showing harm). Google could argue that since the box showed the serial killer died in the 80's that a reasonable person would realize it must be a mistake.
A reasonable person would realize which part was a mistake: that it's a picture of the serial killer, or that the serial killer died in the 80s?