Is it permissible to perform Esha salaah in a house where one will be performing taraweeh?

Q: I have been offered by my uncle to perform taraweeh salaah with two cousins of mine at his house. His house is between a musjid and a jamaat khana and is 650m from both. I wanted to find out if we are performing taraweeh there, can we perform the esha salaah there as well or not? 

Mistakenly reciting a surah instead of attahiyyaat

Q: Is Salaat valid in the following cases? If so, please advise what should be done if such an error occurs in the Salaat.

1. Mistakenly reciting thana twice.

2. Mistakenly reciting some Ayaats of a Surah, or an entire Surah, instead of tashahhud. Tashahhud is then recited after the mistake is  realized.

3. Mistakenly reciting some part of tashahhud, or the entire tashahhud, instead of Surah Fatiha. Surah Fatihah is then recited after the mistake is realized.

Unmarried woman getting pregnant through artificial insemination

Q: A Muslim sister in a certain Islamic community got pregnant. The Islamic leaders decided to discipline her since she was not married. When the elders of the Community met her, she told them that she has stayed in the religion for years and no one is marrying her and she is getting to the age where she can't get pregnant if married. So she went and did artificial insemination since she wants a child. She provided the medical documents that showed that she has done the artificial insemination. The sister is pregnant without committing fornication nor adultery. Is she sinful?