Corrected entry: In the the scene where he receives his discharge orders (and when he subsequently returns home) the ribbons on his uniform do not include the one for the Medal of Honor. Just because he gave his actual medal to Jenny, he'd still be entitled to wear the ribbon, as far as the Army's concerned.
Corrected entry: In the scene where Forrest is carrying Bubba out of the jungle away from the airstrike, look carefully when Forrest starts down the trail into the open and the napalm starts hitting the ground. Several rounds land very close to him, and one even lands in a bush that he has just passed. In actuality Forrest and Bubba would have been crispy to the bone before they realised what hit them. (00:53:00)
Correction: The movie is a memory play so Forrest is telling someone all of this. The explosions may have sounded closer than they actually were. This would then be reflected in his recap of the story.
There's nothing in the movie to imply his memories are inaccurate. I call it a movie error.
Corrected entry: When Forrest and Bubba meet Lieutenant Dan for the first time, he has a roll of toilet paper in his hand. During the scene, he walks them toward a soldier whom he begins to yell at. As he is yelling at the soldier, his hands appear with no toilet paper, then a roll in the right hand, then no roll again. As he approaches the "bathroom", Lieutenant Dan picks up a roll from the side of the door.
Correction: Lt. Dan is holding the roll with his fingertips all the time. Sometimes you can't see it because it's below the frame while a part of the hand is still visible. And he certainly doesn't pick up any roll in the booth.
Correction: In Forrest's mind, he gave Jenny the medal because he earned it by doing what she told him to do, and probably then chose not to wear the ribbon. Think about it, he loves Jenny so much that he forfeits all the perks associated with wearing the ribbon, because in his mind Jenny is the person entitled to the medal.