On Air Force One, C.J. is going to speak to the President, there is a shot of her walking on the plane and she clearly has a short "bob" haircut, when she gets to the President's office she has longer, layered hair and her necklace has changed.
The tornado is described as being rated an F5 in strength. Storms of this magnitude completely strip trees of all coverings, including the bark. The disaster zone showed included downed trees with leaves. The leaves should be completely gone in this area.
Josh Lyman is meeting a congressman for dinner at Arnie Morton's and is joined by Ryan Pierce when Wilcox doesn't show. Arnie Morton's is located in Burbank, CA not Georgetown or downtown DC. Morton's of Chicago has locations all over the country including Georgetown and downtown DC, but only the Burbank location is Arnie Morton's.