How long Embassy returns the I-130 and USCIS issues a Notice of Intent to Revoke?

It would be unusual not to have a waiver available to you. If this is in fact true why do you care when it will be returned and the Notice of...

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What name should I use to re-apply my N400?

You should apply using your current legal name. Many states have an option on the marriage license to indicate what name you want after marriage. ...

I want to know if my fiance has a tempory green card or not?

From the facts it appears he only has a K-1 status which may have already expired. Once married you need to begin the process to apply for a 2...

How long it takes my case in immigration ?

37 Months to 48 Months Permanent resident filing for an unmarried son or daughter over 21 September 07, 2014 See this link to monitor...

Legalizing status under Cuban Adjustment Act

Rules under the Cuban Adjustment Act changed recently so be sure you read these if you are trying to handle yourself.

What we should do after the case going for administrative process and reviewing for waiver?

If the consulate has not asked for additional documents then wait until they do. Typically they request the waiver if related to the Travel Ban.

Is it acceptable to provide more proof of bona fide marriage with newly acquired documents? Acquired after the interview?

That is fine to include but more importantly you need documents throughout your marriage showing your lives were mixed together and a bona fide...

I recently applied for a humanitarian visa which was denied but I had a urgent need. If I apply again will I be rejected.

i would say very slim. You need a petitioner and approval and then you will need a waiver as you triggered a ten year penalty by overstaying and...

I am on marriage base green card my green card was expired in June-20018 right now I am on one year extension

You should be fine -- travel with a current passport, expired green card and original Receipt showing 12 month extension.

Waiting for Greencard?

Until you are married and have an advance parole (travel permit) this is very risky.