Is it permissible for a woman to visit the doctor while in her `Iddah (waiting period)?
It is permissible for her to do that during day time, but it is impermissible for her to leave her house at night except for a sound reason. And Allah Knows Best.
Is Zakah due on the orphan`s money?
Yes, Zakah is due on the money of the orphan.
Is it permissible for us to sever ties of kinship if our blood-relatives` gatherings/meetings involve acts of sin?
Observing kinship ties is obligatory, and paying your blood-relatives a visit causing their sinful acts to be hindered , then you should do so. However, if their sinful acts continue while you are at their gathering and they didn't respond positively, then observing kinship ties via telephone and the like will suffice in this case. And Allah Knows
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.