Child Sawyer is right-handed but the grown-up Sawyer is left-handed.
At 31:50 in Juliette suddenly has visible bruising / scabbing on her lower and upper lip.
In the scene at the beginning with the unfinished tapestry, the Greek letters are wrong. Xi is used for epsilon "E" and zeta "Z" for the last sigma. This has been corrected for the later scenes with the finished tapestry. However, the last word on the bottom line of the finished tapestry has an omicron "O" where there should be an omega.
When Sayid and Jack are getting picked up by the microbus, the driver in the wide shots is obviously not Hurley.
Sawyer's parents' funeral took place in 1976 (as revealed in the second part of the season finale), but a 1977-model Cadillac hearse as well as a 1980-model Cadillac hearse are shown.