To what extent are the hadiths authentic that relate to a wife entering Paradise by her husband's consent, or those that prohibit a wife from visiting her sick father or attending his funeral if her husband forbids her, and will a woman be held accountable first for her husband or for prayer?

The first hadith, "Any woman, etc.," is weak. Its possible meaning—assuming its authenticity—is that a woman whose husband is pleased with her when she dies will enter Paradise, provided she has not committed anything that prevents her from entering it. As for the second story, it is weak, and even if authentic, it does not command the severing of family ties. Rather, it commands obedience to the husband and not leaving his house without his permission, which is an obligation upon the wife. The first thing a person will be held accountable for on the Day of Judgment is prayer. A woman's obedience to her husband does not exempt her from religious obligations; rather, it is one of the duties Allah has commanded her to fulfill.