Jamaat Salaah and Imaamat

Q: If the imaam does not recite correctly, will it be ok to perform salaah behind him or should I perform salaah at home in such a scenario? 

Q: The place where I live is a very cold place so the imam of the mosque always wears normal socks and does masah on the socks. Is it better to pray behind him without doubting or pray behind him and repeat the namaz make jamaat at home with one's family members? Which option do you recommend?

Q: There is a masjid inside a university where many Muslim students live, but it often does not have any jamaat salaah on Sundays, though the Friday prayer is held there.

An imam is appointed for the masjid, but he often does not come for Fajr, Isha and prayers on weekends (maybe because he lives far from the university). When the imam is not present, anyone leads the prayer. Is it correct to start a 2nd jamaat after the imam has already led the 1st jamaat salaah?

Q: If the Imaam stands for the 5th rakaat, will the muqtadi stand with the Imaam?

Q: Can an old man who performs salaah on a chair lead the jamaat salaah in the Musjid?

Q: Two people were performing salaah with jamaat. Thereafter, a second muqtadi joined the jamaat, but the first muqtadi did not move back to stand with him behind the Imaam. In this case, should the Imaam move forward?

Q: Can the imam accept the luqma given by a mahram woman who is praying behind him, if the imam makes mistake in the qiraat. Is the namaz valid or becomes void?

Q:

1. There is a masjid inside a university where many Muslim students live, but it often does not have any jamaat on Sundays, though Friday prayer is held there. An imam is appointed for the masjid, but he often does not come for fajr, isha and prayers on weekends (maybe because he lives far from the university). Is it correct to start a 2nd jamaat after the imam has already led the 1st jamaat in Salaah?

2. Is it correct to offer Friday prayer in this mosque?

3. I led a 2nd jamaat in this masjid, but after I started, I heard someone else leading another jamaat in the corner of the masjid. I did not know this before I started. Will I and my muqtadi's have to repeat the Salaah?

Q: What is the condition of the salaah if the imam makes the following mistakes

1. In takbeer the kaaf is read with a kasra

2. In fatiha, the laam of Alhamdu is read with a fatha

3. In Tasmee the meem of samia is pulled a little

4. In the last Ayah of surah nasr, the word rabb is omitted thus reading: bihamdika

Q: Is it ok to bypass the nearest mosque and go to a distant mosque in order to pray there, because the Imam of the (distant) mosque has good tajweed and tarteel and prays bigger surahs and is well acquainted with the Masail?