I tried my best to answer her questions to the best of my knowledge and what Google told me
1. Register your marriage in NSO.
2. Changing to your married name
Since we are working overseas there are several documents that we need to update:
B. Identification Card
Update Change of Name in IC
As of now this is my list and would update this post when I remember or stumbled into anything. Please feel free to add by writing in the comment below. Thanks :-)