Nikaah in the state of janaabat

Q: I had zina with a girl (both of us are unmarried) right 1 hour before our Nikah, we didnt got time to take a bath and we completed our nikah like that only. Is my nikah valid or invalid? Should I have to do again nikah with her?

Important Note: The girl had zina with a person long time ago in her teenage years, in her past...and she repents it. After that I had married her. 

Removing one's hijaab to study

Q: I started wearing my hijab since 2016, no one forced me with it and it was my choice, and it has been a year for wearing it, but the problem is the job of the family that I am working in. It mainly deals with men and our customers are for men. If I plan to study a major for this job, I have to remove my hijab, especially in my country that I live in. It is one of the reasons for a Muslim lady to be forced to remove her hijab, unless if she is married or the guy who would want to be halal for her, ask her to wear hijab. If I wanted to study a major and it is not eligible for a lady to be wearing hijab for this major or job, would Allah punish me for removing the hijab? I have chosen it with love, because I wanted Allah to be near always and for so many reasons. What can I do to ask forgiveness from Allah, if I remove the hijab? Can I fast for one week asking forgiveness? I know Allah is kind and knows what is inside my heart, and Allah knows that even if life forced me to remove the hijab, I would still come back to wearing it, but I would like to know, if I remove my hijab, what can I do so that Allah would forgive me?

Two length haircuts

Q: I am a follower of the Hanafi madhab and have great respect for the Hanafi ulema of the sub continent and accept that the answers they give to their question are based only on shariah and there are no ulterior motives, however, I could not come to terms with the answer to the question regarding haircuts.

I understand that scholars give certain answers knowing the intent of the questioner to follow their desires, and they give their answers in such a way that people do not abuse the answer given. However, with regards to the answer on haircuts, the answer mentions that the hair should be kept all one length, however, we are all aware that the prophet and the companions kept long hair up to the earlobes, shoulders and in between and simple reasoning tells me that the hair from the front of the head hanging down to behind the head down to the shoulder would be twice if not three times as long as the hair at the back of the head, therefore, I cannot see a problem with a haircut that is number 5 blade on top and number 4 blade on the side, the difference would not even be noticeable by an onlooker. I am aware of qaza, however, from what I have read this is the complete shaving of hair on some parts and leaving other parts, therefore, can you tell me wether doing a haircut of something along the lines of number 5 on top and number 4 on the sides is haraam or not?

Invalid nikaah

Q:

1. A man says to a woman,’Did You marry Rahim?’ The woman replies,’Yes’ in front of many people. Does it mean they are married?

2. A man says to a woman, ’Are you marrying Rahim?’ The woman replies,’Yes’ in front of many people. Are Rahim and the woman married?