My husband told me that he concluded our marriage with a fake name that belongs to another person, because he was sentenced. Nowadays, he brought an ID, passport and birth certificate with the his current name. What is the ruling on being married to him?
praise be to Allah, The Lord of The Worlds, and may His peace and blessings be upon our Prophet Muhammad and upon all of his family and companions.
As regards being married to the person mentioned in your question: The marriage is valid so long as he was the same person your guardian concluded the marriage with, even if he changed his name i.e. if your marriage contract was concluded with the same person, since what counts regarding marriage is the persons not names. And Allah Knows Best.
What is the ruling on exchanging kisses and hugs between husband and wife during the day in Ramadan?
Praise be to Allah the Lord of the Worlds. It is disliked to kiss one`s wife during the day in Ramadan, and it is recommended to avoid that. And Allah the Almighty knows best.
Is it permissible to shorten the eyebrows if they get too long?
Yes, it is permissible, but not desirable.
Is Aqeeqah due on the miscarried embryo?
No Aqeeqah is due on the dead embryo.