Talaaq

Is lack of being intimate a valid reason for divorce?

Q: I am 29 years old. Me and wife have been married for 3 years. She does not like having sex with me or having any kind of intimate relationship. This leads to a lot of frustration for me. We do not fight about this because I try to be as understanding as possible but sometimes I feel really pathetic when I think about this issue between us. We have finally decided to go ahead with a divorce and will be speaking to our parents soon. I just need to know if lack of sex is a valid reason for divorce in Islam?

Wife using her right to issue a divorce

Q: Recently I found out that my husband only married me for a visa since I am a US citizen. We haven’t consummated our marriage. Also he doesn’t really love or care for me. We havent been in contact for over 6-7 months. In my nikaah, I got the right of divorce from my husband (delegated right of divorce to wife). I want to end this marriage.

1. Can I just pronounce I chose myself or I am divorcing myself from you 3x over a text and send him a notice too, will my divorce be valid?

2. Do I have to seek khula or I can just get divorce by saying it.

Conditional divorce

Q: If somebody says to his wife "if you do this work, you will be talaq, talaq and talaq on me" and ofter some time her husband wants to give her permission to do the work which he forbade her from. In this case, will talaq apply or not?

Divorcing one's wife for insulting one's mother

Q: My wife insulted my mother for jealousy over my second wife. My second wife used to live with my mother. Initially my wife who lives with my mother phoned my other wife through my mother's phone and insulted her, as a result she called back to my mother's phone and insulted my mother badly. She used disgusting words when she was insulting my beloved mother.

What should be my reaction to this, shall I divorce her or not? Please advice me on this matter.