When Josh is talking to the White House Advanced Scheduling regarding Leo's inability to attend a night meeting, he takes the cell phone from Annabeth and placed the back of the cell phone on his ear. The front face of the cell phone is clearly visible when the camera pans to Josh's left. This is corrected in the next shot.
When the Vinick team is talking strategy on the plane a giant platter of fruit appears on the table out of nowhere between shots.