Is the Aqeeqa due on the newborn in case of dying almost a month after the delivery?
                                Offering Aqeeqa after a week of a newborn death is recommended.
                             
                        
                            
                                
                                What is the ruling on a person who isn`t able to fast due to old age, or an incurable disease?
                                Paying the ransom is due on such a person, and that is giving a Mud (600 grams) of wheat, or rice, or the price of that amount to a needy Muslim for each missed fasting day. And Allah Knows Best.
                             
                        
                            
                                
                                Is washing the private part after urinating (Istinjaa`) a condition, and is it done with water and soap, or with water only?
                                Istinjaa` is obligatory for removing impurity, and it can be done with toilet paper, or a stone, or water. It is preferable to do Istinjaa` first with paper, or stone, or the like, then to wash the private part with water until making sure that the impurity has been removed. Using soap is not a condition, but there is no harm in doing so provided that it is washed off with water. It is also permissible to use either water, or paper if impurity is removed by any.
                             
                        
                            
                                
                                Is It Permissible to Divorce One's Wife for not Praying
                                All perfect praise be to Allah the Lord of the Worlds. May His peace and blessings be upon Prophet Mohammad and upon all his family and companions.
You should do your best to save her from hellfire by making her observe daily prayers on their prescribed times, even if this means giving her a generous incentive. However, if she insisted on her position, then it is permissible for you to divorce her. And Allah The Almighty Knows Best.