When Jessica runs into the water to retrieve the package with the Inspector, her clothes are visibly wet up to her waist when they should be dry.
When the helicopter lands and takes off, it would have taken several minutes for the blades to stop and start rotating; the edits make it appear that the blades stop and then restart almost instantaneously. (at appr 12 mins)
When Sir John tells Jessica about a sighting of a suspect, he mentions it was April at the Epsom derby meeting. The Epsom Derby is traditionally early June and never in April.
Jessica arrives two days for a radio interview and told she is two days early. She then says she transposed the numbers, this not be, because when numbers are transposed the difference is nine, not two.