pontevecchio

That is the criterion for L1A. Once here in L1A status the company should be able to file if they choose to.

You should have used a lawyer. Do it now.

Provide all the addresses with dates that coalesce.

The problem is the Op states she was denied boarding leaving the country. Maybe she did not meet the requirements for taking the flight and the mention of CBP was the usual AI competence.

If you have the 551 stamp, that is as good as a GC for the purpose of returning.

Check this reply http://forum.murthy.com/topic/128675-stuck-outside-of-usa-because-of-covid-19/ "As you have noted, if a legal permanent resident (LPR) stays outside of the United States for a period greater than 180 days and less than a year, there is a rebuttable presumption that s/he has abandoned his/her status as a legal permanent resident. Additionally, the continuous residence requirement for Naturalization may also be interrupted. This again is a rebuttable presumption and under the current circumstances, the break may be exempted. It is best to keep documentation to support the fact that one had the intention of returning to the U.S. within a stipulated time while returning to the United States. Further, if you end up staying for more than one year and you do not have a “Re-Entry Permit”, then you may have to apply for status as “Returning Resident” under SB-1 to return to the U.S. " @newacct, maybe you would like to take note.

When and why did you get an I551 stamp?

Better yet, discuss the matter with an Immigration Lawyer now.

You filed an Immigration Petition. She did not. In theory, her J1 should not be an issue. Hundreds of residents have used their initiative to hook up with programs that let you use H1. That could be a possibility. On the other hand, staying away for 2 years could also work.

I would discuss the whole matter with a lawyer.

If you travel in August, you will not be able to return in F1 status and will need an H1 visa to return 10 days before starting in H1 status.

She can stay away as long as she wishes until the validity of the AP and should return before it expires

https://travel.state.gov/content/travel/en/us-visas/Visa-Reciprocity-and-Civil-Documents-by-Country/SaudiArabia.html "Document Name: Birth Certificate/ Birth Certificate for Non-Saudis. Older versions of the birth certificate are either paper documents or small booklets issued by the Ministry of Health. Either of these is acceptable for immigration purposes. In the past, Saudi authorities would issue a ‘temporary’ birth certificate and hold the permanent document until the baby completed its vaccinations. These temporary birth certificates are also acceptable. For recent newborns, Saudi Authorities issue certificates in the shape of large notecards. These are acceptable for immigration purposes. When a baby is born, the hospital issues a birth notification to the Ministry of Civil Affairs. The parents can then receive the birth certificate from the Ministry. " Cross chargeability would seem possible. Let a lawyer do the paperwork.

This may be a temporary move in view of the pandemic. You have to ask your supervisor/HR what the company intends in the longer term. Will the job for which the GC was filed be available to you in the future ?

An H1 sponsor is mandated to revoke the H1 petition of employees who no longer work there. The AOS is not involved except that they may ask for an EVL in the future if they deem it necessary. The bottom line is that you need an appropriate job in the same or similar field in any case.