A dead body will not get sunburn, so when Dr. Isles said that he must have been dead several hours in order for one side of his face to be sunburned, that is not possible. The skin will react to being in the sun, but burning is a reaction of live skin cells.
Not all carbohydrates are "empty carbs." As a scientist who is emphatic about peer-reviewed research, Isles should know this and not be suckered in by a fad diet.
Calculating how far away the bolt was shot from based on the drop only works if they know what angle the shooter shot at. If the shooter did allow for the drop when he aimed by angling up that would change the answer.