Importance of Salaah with jamaat

Q: In the Hadith it comes to read Esha and fajr with jamaat, one would get all night reward, does this mean in the masjid or if one reads at home with jamaat would he get all night reward? 

Q: If the men of a household decide to pray a congregational prayer at home, will it be best for the women of the home to join them in their prayer or is it better for the women to pray separate prayers on their own?

Q: Does the narration of Hazrat Ali Radhiyallahu Anhu regarding the neighbour of the masjid "his salaah will not be proper unless performed in the masjid" also apply to the neighbour of a musalla (jama'at khana)? If he hears the azaan of the Musalla, will it also be waajib to attend that jama'at?

Q: What do the four madhabs say regarding congregational salaah for men? Do they say it is wajib or only mustahab? Can you cite references in your answer?

Q: If a person does not go to a Musjid, and performs Salaah at home with his wife behind him, would he be absolved of the Wajib of Jamaat Salaah?

Q: If the men of a household pray their salaah in their own house with jamaat, is this wrong? I understand they wouldn't get the reward of going to the masjid, but if they make a habit of praying their prayer at home with jamaat, is this a sin?

Q: Will the jamaat with the female household exclude one from all the severe warnings?

Q: What is the repercussions of performing Salah alone?

Q: How important or what status (Fardh, Wajib) is Salah with congregation?

Q: Does salah with  women congregation hold the same rewards as with men? or does the obligation of congregation fall?