If I am reading it correctly, you mean to say your wife's passport has HER maiden name (maiti ko last name), and in marriage certificate, it is YOUR lastname.

If you are the legitimate husband, then the answer is : Husband [YES] Student, F1

You have no choice, and not declaring certain current facts may have severe repercussions in the future.

Also, in my personal opinion, you might not want to mention that your SISTER is sponsoring her trip. This just goes to show that you are currently unable to support yourself, let alone your wife when/if she visits you.

Good Luck

_x