If she has weaknesses, they aren't indicated in myth.
Weaknesses are the perceived opinion of the individual, not facts.
Both one of Her weaknesses and Her strengths is her beauty.
Zeus
Zeus
Kore
Demeter
life
haides
Link below.
Persephones grandparents were Crouns and Rhea on bothe sides. Her motehr was Demter and father was Zeus, and Zeus and Demter were siblings.
Hades.
Persephone's weapon is her stunning beauty.
Persephone's flaws are she was,well, is the wife of Hades.