ANSWER: You can do all of that as the time of tahajjud is a blessed time and making duaa was not for the sake of it being after the prayer but rather due to the time of tahajjud and the last third of the night.

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ANSWER: If he drinks intoxicants, you must not pray behind him as he is an open sinner. The prayer is valid as long as he is sober but one must not knowingly or willingly allow him to lead.

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ANSWER: If she prays it within the prescribed time, she is not sinful but she is playing with fire as there will coma a time when she would miss the prayer for one reason or the other and then she is sinful big time.

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