Thank you for sharing your heart and bringing your family and your unspoken needs before the Lord. It is a good and right thing to ask for His protection and to trust Him with the burdens you carry quietly.
Scripture shows how deeply God cares for the family. He preserved Noah and his household through judgment, He gave each family its own inheritance to remain with them, and He speaks of His people as His own family where older men and women are as fathers and mothers and younger ones as brothers and sisters in purity. He also reminds us that we have a responsibility to care for our own household, and that is part of walking faithfully before Him. When you pray for protection over your family, you are asking according to His heart, that He would keep them from harm, draw each one to know Jesus Christ as Savior, and keep them walking in His ways.
For the silent requests, be at peace knowing that God hears what is not spoken aloud. There are needs that are brought before Him continually, even those that are only whispered in the heart or cannot be put into words. Where His Word has spoken we can speak with confidence, and where His Word is silent we simply remain quiet and trust Him rather than speculating, knowing that our thoughts apart from His revelation are not reliable. He knows your situation completely, and the Holy Spirit intercedes for you according to the will of God, even when words fail.
May the Lord cover your family with His hand, guard your home, and give you wisdom and strength to love and care for those He has entrusted to you. May He meet each silent request according to His perfect knowledge and mercy, provide what is needed, bring peace where there is anxiety, and make His will clear in His time. We join our faith with yours and ask this in the name of Jesus, Amen.