Not clear what is your confusion, genrally marriage certificates contain actual name at time of marriage i.e Mr. X and Miss Y are married at so and so place on date . they don't talk on change of surname etc.
Next is what you should use - You are not bind to use any specific name husbands or maiden you can use any thing and just providing supporting documents for name change is required.
Next is why you should use husbands name - no legal restriction,reason is simple it gives a familyname and toghterness to family. In all cultures including US and Europe girls uses husbands name other wise its is considered as two differnet ppl living undersame roof. ( hope fully u don't want to keep marriage certificate every time).
Around the globe married women changes last name based on marrige certificate and ID ( passport in ur case) it is much easier for you to use husbands name. For now reverting back name u need reason like divorced ? or go thru name change process.