My apologies for the delay in responding. I got called out on an urgent matter. Since your legal name is ***** ***** it is in your marriage certificate, you should fill out all the immigration paperwork the same way so that it matched. You don't have to change your Japanese passport, but if you do, it would probably be your first name as normal, no middle name, and then the last name as both your maiden and last name if there are no middle names used in Japan. Another option would be to do a legal name change in your state before you file the immigration paperwork. If you want to do that, then here is an official link:
If you do not want to do that, then be uniform with your immigration paperwork.
Again, my apologies for the delay in responding.
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