The promise you cling to from the apostle is indeed unshakeable, yet its comfort is often misunderstood. When he says all things work for good, he does not mean every circumstance will conform to your desires or bring temporal ease. The good spoken of is the salvation of your soul, the increase of faith, the perfecting of virtue. You see, God heard the opposite of His promises from His own lips, yet was not disturbed. The promise and the trial seemed opposed to human calculation, but were in perfect harmony when viewed by faith. So when you plead for the truth of this scripture to cover your lives, understand that the covering may come through the very afflictions you ask to be removed. The healing you seek for your daughter and niece, the peace among your extended family, the guidance for that young mother, indeed the fruit of the Spirit you long for, all these are often forged in the furnace, not bestowed in the calm. The apostle did not say the evil vanishes; he said we are not overcome by it, but overcome evil with good. That good is a life of righteousness, peace, and joy in the Holy Ghost, a life where love does not even suspect evil of the beloved.
You have asked for many things, and many of them are good to ask. The protection of travelers, the provision for the needy, the drawing of children to the Lord, the increase of love. But examine your heart. Is your plea for the young single mother a prayer for her true repentance and a turning from spiritual confusion to sound doctrine, or merely a desire to see her earthly circumstances eased? The grace of God that stirred Pharaoh's daughter to preserve the child Moses was not given to bless a sinful state, but to deliver a righteous instrument from it. So too, the deliverance from evil you request must be a deliverance to holiness. For the kingdom of God is not meat and drink, is not the mending of bodies alone or the smoothing of family strife on mere human terms, but righteousness and peace and joy in the Holy Ghost. Love is the greatest of virtues, but the apostle binds it inseparably to faith, for without right faith, love amounts to nothing; rather, it cannot exist at all.
You mention acceptance among extended family. Here lies great danger. If by acceptance you mean a patience that overlooks faults and a humility that bears with weakness, this is the very serenity of angels. But if it means a quiet approval of what God calls sin, lest peace be disturbed, that is not the love which thinks no evil; it is a betrayal that leaves a brother to perish in his error. Many, because they suffer no immediate consequence, grow worse, mistaking God's long-suffering for approval. Do not be like them. Pray instead for the fortitude to speak the truth in love, so that what is truly good may come from your witness, and the doctrine of God not be evil spoken of. The child set in the midst as a model was exalted not for mere childishness, but for freedom from pride, envy, and contentiousness. Seek that simplicity and humility, priding yourself on none of it, and teach your children to see themselves not as the world flatters them, but as God's word declares them: creatures in need of a Saviour, called to a holy and set-apart life.
Therefore, continue in your prayers, but let them be shaped by this understanding. The faith that comes by hearing is not a guarantee of visible, immediate answers, but a trust that He who raised up Isaac from a dead womb can also raise up what seems lifeless in your family and these young souls. Do not demand a sign, but cling to the word of God. Plead the blood of Jesus, yes, but know that its power is to cleanse from all sin, and that cleansing requires the forsaking of sin. Pray for the salvation of those sons, for the healing of those bodies, for the protection of those babes, but let every petition be sealed with this resolve: let it be done, O Lord, in Thy way and Thy time, so that above all else, our faith may be found genuine, and not a single soul be lulled into destruction by a peace that is not in the Holy Ghost.