Must one do ghusl right after intercourse? Is it Ok do work around and inn the house within the state of impurity, does touching things, do they become impure? Also should one do wudu if he does not want to do ghusl right away, is that mandatory? Can you go to sleep while in major state of impurity without ghusl or wudu. thanks you.
Delaying ghusl is permitted until the next prayer, since you cannot pray unless you perform ghusl after intercourse. There is no issue with touching things in the house (except for books of Quran that have the original Arabic text, touching translations is permitted). Sleeping after intercourse without ghusl and having intercourse again without ghusl are both permitted.
There is no need to make wudu after intercourse, that doesn’t change anything.