What a household is asked to carry
Family is deliberate in the Qur'an. Kinship of blood and kinship of marriage are named together as two things God made from a single beginning, which places the people you were born among and the people you chose inside one design. The household gets treated as a real place, with obligations that belong to it and nowhere else.
Much of what the book asks of a family is practical. Prayer is something a person keeps calling their household back to, and the care of one another is set down as something owed. The Qur'an also records what believers ask for, and among the recurring requests is "grant us joy of our eyes in our spouses and our offspring". Wanting your family to turn out well is treated as a legitimate thing to pray about.
The Qur'an is honest about how much a family can cost. One verse tells believers plainly that among their own spouses and children there can be those who work against them, and the instruction that follows is to pardon, overlook and forgive. That is guidance written for a household with a real grievance inside it, and it is closer to how families actually go than any picture of uncomplicated warmth. If the grievance in yours has never been acknowledged, the verses on forgiving someone who never apologized sit closer to it.
Nuh finds the limit of it. He appeals for his son on the grounds of family and hears back that the boy's own conduct has placed him outside it: "he is not of your family". The answer is gentle in its wording and firm in its content, and it leaves Nuh his grief. A tie of blood carries a great deal in this book, and it does not carry that.
What holds a family together in the end is a shared direction. The gardens are described as somewhere you enter alongside the righteous among your forebears, your spouses and your descendants, so the reunion turns on what each person was doing with their life. The work of getting there is the ordinary work already in front of you: teaching the children, keeping the ties, forgiving the ones who stayed. For what is owed specifically to the people who raised you, the verses about parents go further.