Amy's fake nose ring was Anna Paquin's attempt at being humorously rebellious, to see what the crew would say if she had pierced her nose mid-shoot. She found the fake ring in a 'neat junky jewelry store' in Toronto, and got it for free. To her disappointment, her attempt at being rebellious was well-received, as Carroll Ballard decided to use the nose-ring gag in the film as well.
After Amy bashes the game warden with the popcorn bowl, Susan pulls one of the goslings from his hand. She is still holding it when Amy gathers up all the other goslings and runs into the bathroom with them.
Although a radar (like the ASR-7 shown at the Air Force Base) can hypothetically detect a flock of birds and an ultralight, it's unlikely. Their low reflectivity and slow ground speed (the support boat said they were going 21 knots, about 25 mph), the radar would "reject" the returns as clutter.
Yes. This movie is loosely based on the book "Father Goose" by Bill Lishman who theorized and later successfully attempted to guide migratory birds in an ultralight aircraft.