Throughout the entire series, not once is Carrie seen participating in a school class.
On the show Sex and the City, series 4 episode 17 ('A Vogue idea') Carrie told Julian Fisher that her father had left her and her mother when she was little. In The Carrie Diaries Carrie's mom died and she lives with her father and sister. (It should however be noted that the show is based on the book).
There was an online petition to renew the show for season 3 at the time of its cancellation.
Halfway through the first season, Anna Sophia Robb wore a wig to prevent damaging her hair from the constant curling. Then started wearing her natural hair when the second season started as they found a healthier way of doing it.
Noelle Beck, the actress who played Sebastian's mother in 'The Carrie Diaries, played Mr Big's ex-wife in 'Sex and the City'.