This lady according to you got married to a Muslim man and the various documents you have attached here are of the Injunction petition for remarrying filed by the man that was dismissed as withdrawn, an appeal filled against the dismissal of Injunction petition, that too was dismissed and Writ of Hebeas Corpus petition filed by the man in Punjab & Haryana High Court that was dismissed as withdrawn.
There is no document to show the actual marriage which took place between both of them. He being a Muslim and the lady not being a Muslim can only marry either according to Muslim form of marriage if she converted to Muslim religion before their Muslim Marriage or Nikah, even in that case the record of Nikah is available to check and confirm, this can be checked with the Quazi who registered their Nikah if that happened. The other valid form of marriage is by the civil form under the Special Marriage Act,1954 by the Marriage Officer/Registerar of Marriages of the District where either of them or both of them resides. The fact of this form of marriage can be checked from the officer of the Marriage Officer/Registrar of Marriages. Unless you check both these places to confirm that the lady never got married to the Muslim man don't venture out marrying her with incomplete documents she has given you.