Various masaail of Jamaat Salaah and Imaamat

Q: If a person is busy reading Salaah alone, then another person comes and joins him to make jamaat. Is this action ok? What should the first person do in this case?

Q: Is it permissible for a mother and son to perform Salaah together in Jamaat? If so, where should the mother stand and is it necessary for the mother to give the iqaamah?

Q: Should the Imaam turn towards his right or left facing the muqtadis for making duaa only for Fajr and Asr Salaah?

Q: When leading the salaah, what should one do when his wudhu breaks? Must the salaah be broken, or is there a way for the congregation to continue?

Q: I have a question that if the imam is making salaam and I have just started the dua which is read after the durud shareef (Alla humma inni zalamtu), so should I continue reading the dua or should I make Salaam with the Imaam?

Q: A person is late for fajr in the musjid. If he prays his two rakaats of sunnah, he will miss the congregational prayer, but will still have time to pray individually. What is most important: that he prays his Sunnah or that he prays in congregation?

Q: Is it correct to surmise that young scholars using microphone for Salah and allowing their Salah to be broadcast in the homes for ladies to hear may be motivated by show, particularly in Fajr where the number of saffs are few and there appears to be no obvious need for microphone? If not show, what else could a reasonable rationale be?

Q: While reciting tashahhud, if the imaam makes salam, should we continue to recite tashahud, durood shareef, dua maghfirat and make salaam?

Q: Does a muqtadi have to read surah fatiha in the 2nd two rakaats of esha or just remain silent behind the imaam?

Q: While leading the salaah, my wudhu broke. I was taught that it is best to break the salaah in this instance, due to the possibility of creating confusion. I therefore made one salaam and announced that my wudhu had broken while moving away. No one in the congregation stopped their salaah and the person behind me stepped forward to continue the salaah from the point that I stopped.

1. Was it correct for them to continue the salaah, as I had made one salaam (After my wudhu broke)?

2. Does the salaah have to be repeated? 

3. Can you explain any other  rulings that may help in such a  situation (does the Imam have to appoint someone, or does simply moving away suffice,
etc)