Is it permissible for a Muslim woman to wear trousers at home?
Wearing trousers at home isn't prohibited so long as non-Mahrams do not see her. And Allah Knows Best.
Islamic creed is a comprehensive creed, and if there is any defect, the creed of the individual or group is not correct. Is the creed of the Sufis correct or not?
Sufism is the practice of applying knowledge; this is how Al-Imam Al-Sha'rani defined it. If some among them have deviations in creed, it is not permissible to generalize this to all Sufis, as there are those among them who are acknowledged by all scholars for their knowledge and virtue. And Allah The Almighty Knows Best.
Should a pregnant woman who broke fast because of pregnancy make it up, and is a ransom due on her?
The pregnant and the suckling, if they fear for their health, may break their fast and make up for it, and no ransom is due on them. However, if they broke fast in fear for the fetus and the baby, then they are obliged to make up for it, and pay the ransom which is feeding a needy person for each of the missed fasting days. And Allah Knows Best.
What should a mensurating woman, or in state of confinement do if she became ritually pure during the daytime of Ramadhan ?
If she became pure during the daytime of Ramadhaan, is desirable to complete her fasting during that day, and to make up for it along with other missed days due to menstruation. And Allah Knows Best.