(You don't even need good eyes to see this one) In the scene where Gracie comes bursting into the FBI to tell Benjamin Bratt's character that she thinks the Citizen letter is naming the Miss United States Pageant, look at Gracie's right shoulder. It has a corsage on it!!
In an interview, Sandra Bullock said that Gracie's father's wedding scene was cut from the movie, thus the corsage. But considering there was no mention of this whatsoever and no explanation for her to have a corsage on while walking into work, I think that qualifies as a HUGE mistake.