Jamaat Salaah and Imaamat

If someone prays at home intentionally then is it sunnah for him to repeat the same salaah after he has prayed?

Q: One person said: "as praying in congregation is a strong sunnah, and although its intentionally abandoning is makruh tahrimi , the ulama said its repeating is sunnah." Does this mean if some does pray at home intentionally then it is sunnah for him to repeat the same salaah after he has prayed?

Hanafi Imaam reciting an Aayat of Sajdah according to Imaam Shafi'ee

Q: If a hanafi Imaam recites an Aayat of sajdah (that is according to Imam shaafi'ee Rahimahullah and not according to Imam Abu Hanifah Rahimahullah e.g: The Aayat of sajdah that appears at the end of the 17th juz) in salaah, and he is followed by muqtadis of the different mazhaahib, then what should he do in this situation. If he doesn't make sajdah will their salaah be valid? Is there a solution to this?

Attending only Fajr and Esha in the Musjid due to living far away

Q: I live 10 minutes from a mosque and because of this distance I spend almost 2 hours every day walking to and from the mosque to the five daily prayers.  I am I student and need as much time as possible for my studies. Would it be permissable for me, in order to save time, to attend only Fajr and Isha in the mosque (because of the big virtue of praying these prayers in the mosque) and pray the rest of the prayers alone at home?