Summarized Fatawaa
• After I had prayed, I found a drop of menstrual blood and was unsure when that happened; what is the ruling on my prayer and fast?
All praise is due to Allah, peace and blessing be upon the Messenger of Allah: Your prayer and fast are correct , and you should not make up for them, and we ask Allah, The Almighty, to duely reward you for these acts of worship. Your menses start once you see blood because the situation remains as such unless there is certainty or predominant conjecture, as per the Fiqh maxim: 'Certainty is not removed by doubt'. And Allah knows best.
• Is it permissible to repeat the Istikhara(seeking guidance) prayer, and is it a condition that one should sleep after offering it?
Istikhara is offered once, but it is permissible to repeat it, and sleeping after offering it is not a condition for its validity.
• Should a person who doesn’t offer Tasbeehb(saying Subhaana Rabbiya Al-‘Atheem during Rukoo`, and saying Subhaana Rabbiya Al-A‘laa during Sujood ) during Rukoo` and Sujood perform As-Sahw Sujood (prostration of forgetfulness)?
He/ she doesn`t have to perform Sujood As-Sahw, whether he/she didn`t offer Tasbeeh during Rukoo` and Sujood either intentionally , or unintentionally, provided that the attentiveness of the heart wasn`t undermined since it is a pillar in both.
• What is the ruling on Qonot Du`a(supplication) at dawn prayer?
It is a confirmed Sunnah, and whoever leaves it should perform Sujood As-Sahw (prostration of forgetfulness).