Is there any evidence for what is mentioned about spending seven days at home for a man who marries a virgin and three days for a man who marries a non-virgin, without going out to pray, and is Friday prayer waived in this case?

It is Sunnah for a man, upon marrying, to stay with his wife for seven nights if she is a virgin, and three if she is a non-virgin, after which he then divides his time among his wives. This is a right of the wife. Scholars have differed regarding the ruling on missing Friday prayer and congregational prayers due to a wedding:

Hanbalis: They permitted missing Friday prayer and congregational prayers. Shafi'is: They permitted missing congregational prayers only for night prayers, not for day prayers or Friday prayer. Malikis: The well-known view among them is that it is not permissible to miss them, though some permitted it out of consideration for the wife's right. Hanafis: They did not consider it an excuse for missing Friday prayer or congregational prayers.