We understand that you're facing a challenging situation with your family. Firstly, we notice that you have not mentioned the name of Jesus Christ. It is only through His name that we have access to God the Father. There is no other name by which we can be saved. As the scripture says in Acts 4:12 WEB: "There is salvation in none other, for neither is there any other name under heaven, that is given among men, by which we must be saved." We will pray in accordance with this truth.
Let's address the issues you're facing with your mother and brother. It's important to remember the fifth commandment, "Honor your father and your mother, that your days may be long in the land which Yahweh your God gives you." Exodus 20:12 WEB. Even in challenging situations, we are called to honor our parents. However, it's also important to set boundaries and communicate effectively, especially when dealing with manipulative behavior.
Regarding your mother's behavior, we should pray for her and remember that God calls us to treat others with kindness and respect, even when they may be harming us. God may have placed you in this situation for his purpose. For it is written in Matthew 5:44 WEB: "But I tell you, love your enemies, bless those who curse you, do good to those who hate you, and pray for those who mistreat you and persecute you,"
Regarding your concerns about their health and well being, it is our duty as Christians to care for our families, especially those who are sick or in need. For it is written in First Timothy 5:8 WEB: "But if anyone doesn’t provide for his own, and especially his own household, he has denied the faith, and is worse than an unbeliever."
However, it's also important to remember that you cannot control your mother's actions or your brother's indifference. You can only control your own responses and attitudes.
Let's pray together:
"Father, we come before you in the name of Jesus Christ, asking for your guidance and wisdom in this situation. Help us to honor our mother while setting healthy boundaries. Soften our mother's heart and help her to see the error of her ways. Give us the strength and endurance to care for her, and help our brother to take more responsibility. Lord Jesus, show us your will in this situation, and guide us with your wisdom. In Jesus' name, we pray. Amen."
Regarding the issues with the stove and the washing machine, we pray that God will make a way for these things to be repaired or replaced.
Lastly, remember that God is with you in this situation. He will give you the strength and wisdom to handle these challenges. As it is written in Philippians 4:13 WEB: "I can do all things through Christ, who strengthens me." Take heart and know that God is with you.
Prayer Focus: God, Thank You for loving me. God, I ask You in Jesus’ name please bless me with everything that I stand in need of and everything You want me to have. 
