The correct option is A Her actions had their own logic.
Choice (C) is the best answer, because Maman-Nainaine says Babeette's visit depends on the figs, which has nothing to do with the visit. So she must have her own reasons for linking the two- "her own logic." Babette wants to visit her cousins, so the situation is hardly "serious" (A). She may be "overly strict," but we don't hae enough information to affirm that (B). Choice (D) cannot be the answer because there is no "punishment." And nothing suggests that "figs were her favorite fruit" (E).