1. Since Talaq a tafweed is a delegated divorce your wife will have to prove that after marriage you had delegated your wife with power to give talaqtoyou.In absence of this proof the talaq a tafweed would not be valid if you challenge this in the civil court.
2.Only a registered Quazi can issue a valid Talaqnama.If the issuing authority of the Darul Qaza has no such registration to perform marriage or talaq then such certificate ahs no validity.
3.Yes,you can.
4.if you have photo of their marriage r any other document then use the same to file case u/s 494 IPC.
Do file a civil suit for declaration of marriage that the talaq is null and void as suggested by me above.