Is it permissible for one to shake hands with his uncle`s daughter?
No, it isn`t because he is a non-Mahram (Marriageable) to her.
Does wiping over one's socks during ablution permissible?
If the socks were thick, then wiping over them during ablution is permissible so long as wiping conditions are observed. And Allah Knows Best.
What is the ruling on discharges that occur two or three days before the menstrual period, accompanied by a light blood color? Should I stop praying during this period?
Brownish, yellowish, and reddish discharges are considered part of menstruation if they occur within the menstrual period, provided that the total duration does not exceed fifteen days from the first discharge to the end of the cycle; in this case, all of it is considered menstruation.
I see horrible dreams although I perform the prescribed prayers, what do you make of that?
All perfect praise be to Allah the Lord of the Worlds. May His peace and blessings be upon our Prophet Mohammad and upon all his family and companions.
Be mindful of Allah while awake and he will safeguard you from whatever evil you see while asleep. We advise you to make the pre-sleep supplications. And Allah The Almighty Knows Best.