Other mistake: When Mrs. Bennet is thanking Col. Forster for his kindness to Lydia for taking her to Brighton, the camera pans out while Mrs. Bennet is still speaking. If you look at Mrs. Bennet and Col. Forster from that shot, it shows Col. Forster speaking to Mr. and Mrs. Bennet at the same moment. Mrs. Bennet could not possibly be speaking at that time.
Episode #1.6 - S1-E6
Visible crew/equipment: When Lady Catherine de Bourgh and Lizzie are by the carriage (right after Lady Catherine de Bourgh questions whether Lizzie is engaged to Mr. Darcy), there's a camera or some sort of device visible. (00:36:40)
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Suggested correction: The device being referred to looks like a lamp, which is part of the carriage. Therefore, it is not a mistake.
Mary Bennet: It behooves us all, to take very careful thought before pronouncing an adverse judgment on any of our fellow men.
Trivia: The exterior shots of Pemberley were filmed outside Lyme Park, in Cheshire.
Episode #1.3 - S1-E3
Question: When the Gardiners arrive at Longbourn for Christmas, where are their children? Surely, they would not have travelled without their children at Christmas.
Answer: The children were probably left with a nanny or relatives. It's very likely that the Longborns would have left them at home. Travelling for days by horse-drawn carriage over bumpy dirt roads is difficult in the best of circumstances, and particularly hard during winter. The trip would be too arduous for young children.