Distributing a property owned in a joint venture

Q: My wife and I were working together in the Gulf for the last 17 years and we don't have any children. During our stay in the Gulf, we purchased two properties. One property is registered on both our names and since I couldn't travel to our home country for some reason, we registered the second property only on her name as the single owner... It was purchased through our savings as security for retirement and only our money was used in buying this property.

Unfortunately my wife passed away all of sudden 5 months ago. Now my mother in law, my sister in law and my brother in law are claiming their share in the property after consulting one Mufti in our city. It was purely our hard earned money and I came back to my home country after my wife's death and I don't have any job here. I want to follow Shari'a and I don't want to destroy my Aakhirah also. Are they entitled to their share in the property ?

Defending the honour of a Muslim

Q: The Hadith of Rasulullah Sallallahu alayhi wasallam states: "He who defends the honour of his (Muslim) brother, Allah will secure his face against the Fire on the Day of Resurrection." [Jami al-Tirmidhi]

1. I have been in situations where Muslims (especially Ulama) are defamed. This sometimes happens in face to face conversations and sometimes on social media. I feel that it is my duty to defend my Muslim brother. However, a person told me that if I do not know the background to the entire situation/incident, I should keep silent and I should not defend my Muslim brother.

I wish to ascertain whether or not I should defend my Muslim brother in such situations despite my insufficient knowledge of the entire background.

2. The person who told me this explains that if I do defend my Muslim brother in such a situation without full knowledge of the background, I am indirectly defaming and doubting the person who passed on the information. Is this the correct understanding?

Removing impurity from a touch screen phone

Q: I have a question regarding impurity and touch screen phones. I would like to know how invisible impurity such as urine traces or other invisible impurity may be removed from a cellphone as it cannot be washed as it would be ruined. Would wiping the dry invisible impurity with a dry cloth remove it from the smooth surface of a phone? Or how about a wet cloth that is wetted with isopropyl alcohol (as this does not harm the phone)?

Keeping textbooks containing words that may affect one's beliefs

Q: I am a science student and I have a bunch of math textbooks. These are strictly math textbooks as I understand. In one of the books, the author mentions solving equations in their multiple variable "incarnations". I assume the author means "form" because there is no religious meaning here as far as I can tell. In a different book, the author tells a short biography of a mathematician who was also an astrologer. The presence of such words disturbs me. I would like to know if there is something wrong with me continuing to read these textbooks and can I keep them or not.