How can my wife maintain her work status as she is currently on EAD based on E3D

I think she can maintain it up to October when your H1 visa becomes effective.

Does getting laid off and needing more time to find a new job make sense to USCIS to approve a status change from H1B to B2?

I do not think you could be able to COS from H1-b to B2 . B2 is usually will be done through consular processing not by USCIS.

How common are the cases like this , and what is the proper procedure to follow?

It is very common, you need to use an attorney.

Do I need to add divorce paper to N400 AND do I file as a 3 year spouse or 5 year resident?

I am not clear about your question. If you gained your LPR through current marriage, you may file based on 3 years. Your ex-divorce if was before...

Would owning a residential apartment for my technology services satisfy the E2 visa location requirement?

Basically it must be a commercial place but if it is residential located in a commercial area and some other people are using the similar property...

Are we able to petition a green card for our adopted daughter?

It depends on how old is your daughter now. I am not clear what do you mean by on our cases since age of 13? what is your case? after adoption , if...

Is it possible for a company to petition a PERM for a J2 with EAD employee?

First you should see if you are subject to 212 ( e) of not. if you are , you have to be out in your country for two years or file for a J waiver....

Is this allowed for just the attorneys to be in the mediation and I was just to wait for the outcome? Why was I not in the room

Mediation is not a judicial process, so you can conduct it as you like. It was better that you attend the session with your attorney but at the end...

What forms do we need to file so my soon to be wife can remain in the US and gain work authorization? How long will this take?

If you are a US citizen, get married and file I-130 accompanying with G-325 and I-485 for adjustment of status. When your I-130 got approved you...

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1. May she travel while EAD is pending? 2. Visa will expire, should I include it in application?

Better to apply before her travel or after she returns. If she applied before her travel, she has to do the finger print first and then travel out...