Antigone is the daughter of Oedipus who is as stubborn and decisive as her father. She in fact planned to defy Creon's directives and bury Polynices. The similarity with her father seemingly ended there as unlike her father she has the remarkable ability to recall events that happened in the past. Oedipus forgot all the good things the priest Tiresias did for him and went ahead to defy him, he also seemingly forgot about his encounter with Laius at the three-way crossroads. Antigone, on the other hand, recalls the things her father's actions have cost her family and the grief he has brought to them thus far.
Because Antigone is aware of the fate that her family is destined to, she is fearless about what Creon would do to her, even until the point of death because she feels she has nothing to lose. She appears to be in love with her brother Polynices (now dead) which seems to further the plot about the family being an incestuous one.
Antigone shows her great need for connection to her family throughout the book as she defies Creon to bury Polynices which could have cost her her life.
The main difference is that third person limited happens when the story is told from a character's perspective, while a story in third person omniscient is told by a narrator that is external to the story.
