It's Fitzwilliam, which was his mother's maiden name.
Yes, she worked on the scene where Charlotte tells Lizzy she's engaged to Mr Collins, when Lizzy receives bad news by letter in the inn at Lambton and the Region 1 ending with Lizzy and Darcy at Pemberley.
The European versions of the film end with Mr Bennet saying that he is at his leisure if any young men come for Kitty or Mary. There is no scene of Lizzy and Darcy kissing at Pemberley.