Jamaat Salaah and Imaamat

Q: Is it necessary for the imaam to make intention for the people behind him? Example if there's women in the jamaat, does he have to specify he's leading the salaah for women?

Q: My two daughters are haafizah. Can my two daughters pray together the Taraweeh Salaah while one of my daughter recites the Quran and the other rectifies the mistake? Is there any possibility that only the two of them perform the salaah like this for revision purpose? This won't be a congregation since only the two of them will perform the salaah like this.

Q: My sister and I are haafizah of the Quraan Shareef. Is there any possibility of me and my sister reciting Quraan in taraweeh salaah for revision purposes? If there is a possibility, then what's the correct method to do this?

Also, if one of us makes a mistake during congregation salaah, can the other one rectify the mistake? 

Q: If there is only one child for salaah, must he stand in his own saff or must he stand in the adult saff?

Q: Is azaan mandatory in a small office mosque where 2 or 3 jamaat prayers are held and not all? The above mentioned mosque has no speakers, no fixed imam and muazzin, whenever multiple people come then they pray in jamaat.

Q: A late comer joins me in salaah while I'm performing my sunnah salaah. Is it permissible for me to change my intention of performing sunnah salaah alone to performing in jamaat?

Q: When is the sunnah time for the words to straighten the suffoof to be said. What is the ruling in the hanafi madhab regarding it?

Q: We have a small musallah in our area. My question is, I am hoping to perform salaah as the imaam with 1, 2 to 4 musallies every day, but most of the time, I'm reading salaah alone as the imaam in front. Will I still get the full reward of salaah with jamaat?

Q: When the Shaafiee Imaam is not here, the musallis ask me to lead the Fajr Salaah. Since I'm a Hanafi, will it be appropriate for me to read qunoot with the niyyah of qunoot e naazila so as not to create confusion. It is a Shafiee masjid and many people are ignorant about these fiqhi ikhtilaafs.

I remember once a Hanafi Imaam led the Fajr Salaah and he did not read qunoot. After salaah there was a commotion and people started talking to one another that qunoot was not read. Please guide me what to do.

Q: We have children who are not baaliqh attending the fardh salaah. They are standing next to their fathers in the first saff. They were requested on many occasions to have their sons read in the back saff.

Is my salaah nullified? Is it makrooh to have these young boys in the middle of the saff?