Ishraaq, Chaasht and Awwaabeen

Q: I have a question regarding Ishraaq salaah. I noticed a Hadeeth mention something to the effect that whoever offers the Fajr salaah in congregation and then remains seated, remembering Allah until sunrise, and thereafter he performs two rak’ahs, he will receive the reward of one complete Hajj and one complete Umrah.

My question is directed at the part that says 'remains seated remembering Allah until sunrise'. In our masjid, there is a tafsir program that takes place at the back of the masjid after the salaah is over, so I do not remain seated in the same place. I also drop my father off at home thereafter. Will the reward still be the same if I come back to the masjid afterwards and wait until the sunrise comes to read the Ishraaq Salaah?

Q: There are 2 virtues to ishraaq. One is the reward for hajj and umrah, the second is that one's day will be made easy. To get both these rewards, should 4 raka'aats be read in one go, or each set of 2 raka'aats separately?

Q:

1. How many rakaats can I pray for Tahajjud, without including witr?

2. How many rakaats of Ishraaq can I pray, and when is the time for Ishraaq?

3. When is Chaasht prayer time if Zuhr is at 12:41? And how many rakaats should I pray for Chaasht Salaah?

4. As for Awwaabeen Salaah, how many rakkats can I pray?

Please include any mustahab surah’s that I should recite in the rakaats. e.g. For Ishraq first rakaat, recite Ayat-ul-kursi, and for the second rakaat, recite Surah Ikhlaas. 

Q: Is chaasht a sunnah salaah that Rasulullah (Sallallahu Alaihi Wasallam) performed and is there any Ahaadith regarding it?

Q: Ishraaq is read 15 minutes after sunrise. How long after that is it permissible to still read ishraaq? 

Q: Do we pray Salatul Duha in pairs of 2 or 4 rakaats with one salam?

Q:

1. What is the difference between ishraaq, chaasht and awaabeen salaah? Some people say that they are all one nafil salaah, but the names and times are different. Why are these separately described in the ahaadeeth?

2. If someone read ishraaq, does he need to read chaasht as well?

Q: Can women read ishraaq namaaz before the eid salaah?

Q: Salatul ishraq is the start of salat duha? Like if I pray 2 rakat after 20 mins of sunrise, so it will be considered as both, chasht and ishraq prayer?

Q:

1. I wanted to ask you that if salat al tasbeeh was proven in hadith or not?

2. Is salat al ishraq valid even if one sleeps in between fajr and salat al ishraq?

3. And how many rakats should be offered?