Do the souls of the deceased long for the living and ask about them, and does the soul of the deceased husband ask the soul arriving to them in heaven if his wife remarried after him?

There is no indication that the deceased long for the living. Rather, what is indicated is their joy and comfort at the visit of the living, and that the souls of the deceased meet in the Barzakh and welcome newcomers, asking them about the affairs of the people of the world. And there is no objection for a woman to marry after the death of her husband if she wishes.