Witr and Nawaafil

Q: What is the time difference between rakatul fajr and salaatus subhi? Should the sunnah be considered as optional?

Q: Is ishraaq and chaast salaah the same or we should read both because I am regularly reading ishraaq but chast I read some times. Someone said it is the same, if you read it in the early morning it is ishraaq and if you read it later than it is called chasit. Please explain.

Q: Do you have to sleep before offering salaatut tahujjud?

Q: How many sunnats are there in the night before bed? Please explain in detail.

Q: Must one make sajda-e-sahw if one misses the ruku in the last raka'ah in witr?

Q: Where I work, sometimes it is not possible to perform complete Salaah. In Islam can we just perform fardh only when at work?

Q: We are Hanafi. If I am leading the salaah at home, and my wife wants to read salaah behind me. What intention should I make? E.g. during ramadhaan, I read Esha, Taraweeh and Witr. Do I need to make an intention for each two rakaats that she is behind, or can I make an intention once for Esha and let it count for all. How must the intention be made? Verbally, in the mind, or just a realisation that she is behind me?

Q: If the Sunnats of Fajr were missed because time was less before sunrise, must it be read after sunrise?

Q:

1. Which Surah is sunnah to read in witr? I know about Surah alaq, kaafiroon and ikhlaas what other surahs.
2. The dua we read qunoot in Witr has that come in Hadith. Also in Witr Salaah we do rafe yadain is there any daleel in Hadith.
3. It comes in the Hadith something to the effect that do not read witr like maghrib and we do. What does this mean?

Q: I belong to the Hanafi maslak. Due to some reason I arrived late for Esha. I prayed individually. However I prayed all 20 rakats Taraweeh with the Imam. Can I pray witr with jamaat?