Tutankhamun's mummy
Detective Michael R. King and FBI profiler Gregory M. Cooper came together with an actual Egyptologist to form their own theory which was that Tutankhamun was murdered. With the use of forensic evidence and their extensive backgrounds in criminology, they came to the conclusion that he was likely murdered by one of his closest advisors, Ay. Ay did succeed Tutankhamun on the throne, so they used that as the motivation for the murder.
Mursili's eclipse
The 1312 date would imply that Mursili began his reign in either 1322 or 1321 BC. This date would be roughly that usually proposed for the death of Tutankhamun. It is known that Suppiluliuma I was besieging Carchemish when he received a letter from the widow of a Pharaoh (who is called Dakhamunzu in the annals). Suppiluliuma died shortly thereafter and his successor was Mursili II (whose brother would have been Prince Zannanza sent to Egypt where he died). Thus this appears to be a chronological anchor. However, there are other views, asserting for example that the dead Pharaoh was Akhenaten or that Tutankhamun died later.