How did you answer this question on your N-400:
“44. A. Are you a male who lived in the United States at any time between your 18th and 26th birthdays?
(This does not include living in the United States as a lawful nonimmigrant.)”
Getting divorced within a year of getting a 10 year gc is not a good look. USCIS is free to re-evaluate the original basis for your gc.
Your post history suggest you do not intend to live in U.S. as an LPR. The divorce plus spending 49 percent of your time outside the U.S. is also not a good look either. Are you planning on petitioning a new spouse?
Logically, CBP would have no reason to deny entry while F4 is 18 years from being current. As the delta between their priority date and date in the visa bulletin approaches zero, the odds of CBP denying entry increase.
She can include your current income as her house hold income.
Some embassies will require you to fill out I-864a.
Current income = gross pay on last pay check times number of pay periods per year
It is better to say: “I am done answering your questions” than to lie.
To answer your original question,
More secondaries if someone in DHS connects the dots. Denial of global entry or NEXUS if DHS or CBSA connects the dots
Green cards are for living in the U.S.
You are expected to spend more days in the U.S. than outside.
So spend
* X days in the U.S., leave for no more than X-1 days. X <= 181.
* Y days outside the U.S., return to the U.S. for Y+1 days. Y <= 180
This is not a DIY case imho. Hire a competent attorney. Does not have to be local. Most offices will permit the attorney to call into the N-400 interview.
Unreasonable and the new normal
https://www.visajourney.com/timeline/
https://travel.state.gov/content/travel/en/us-visas/immigrate/the-immigrant-visa-process/step-1-submit-a-petition.html
The instructions make it clear a guardian can file on the basis of grand parent’s physical presence if parent and grand parent are deceased. Logically, a parent can file if the grand parent is deceased.
OP’s bigger problem is not that the grand parent has passed away: it is that she no longer has the originals she used to get her U.S. passport.
Because
1. they believe what USCIS posts on it’s web site
2. They do not ask us if USCIS is dissembling
3. After months of frustration then they ask us
https://fullerimmigration.com/lawyer/2016/04/13/Immigrant-Visas/Obtaining-U.S.-Citizenship-Through-a-Grandparent_bl23880.htm
“If the grandparent is dead, the provision is still available. All that is required is that the grandparent was a U.S. citizen and met the physical presence requirements at the time of his or her death.”
He should have applied before he married. He should still try. With an SSN, these become easier: Joint taxes, health insurance, bank accounts, utility accounts
This is common for name changes
Could take a year or more. We have 1000 federal judges trying cases for 350 million people. My wife’s oath was in federal court and it required 4 hours of court room time.