Women cutting their hair

Q: Is it impermissible for women to cut their hair? My hair is not exposed other than in the confines of my home. I was given to believe it's fine but it should not reveal the nape of the neck or resemble a male. Kindly provide me with the necessary info to substantiate.

Choosing a spouse

Q: I am 28 year old. I have been fairly successful in my career and I have never been married. I am very well groomed and have chosen to remain pure out of the fear for Allah Ta'ala. I will prefer to marry a muslim women with similar traits in compliant with Shariah. I am well versed in the Qur'an. Should I find a women around here and just marry her or will it be permissible for me to ask a Mufti to refer good muslim women for me to choose from, as I want to do it according Shariah strictly. 

Ijaab and Qabool in the presence of witnesses

Q:

1. If a proposal and acceptance take place between a man or woman so are they married. Is this valid or legal in shariah.

Once in a TV program I heard that if a Muslim man and woman accept their proposal and accept each other then they are married and nikah takes place even if no one is present in between them. He said that this is called Nikah Ijaab and Qabool. Ss this true?

2. I also heard that for nikah Ijaab and Qabool​ permission, wish or willing of a woman's father is necessary.

3. If a man and woman accept each other in the presence of her mother and her 14 years old brother, so in this case nikah takes place or not?

4. If a father of a woman wishes to marry her daughter with his sister son (Nephew) and both the girl and boy are fiancee and fiance and both the parents wish to marry them but both girl and boy accept each other saying nikah words in the absence of any witness and both parents are also not present at that time so in this case nikaah takes place or not?

Changing one's gender

Q: Maybe I sound crazy but this is a very serious issue. I heard in Pakistan a girl became a boy naturally. This is strange, but I know Allah can do any thing. But my mind is stuck in that I don't want this with me. Is this sheaytaani waswasa? Please help me I never want to become like this. I am a girl and I am happy with that.