What is the best way to apply for change of status (F1 to J2) and EAD simultaneously?

You need to send applications according to the instructions.

Can postdoc (J1) go to new place(non tenure faculty) when I-140 is approved and J-waiver pending at USCIS? With which visa?

You should discuss these issues with your attorney. How do you know that your employer will not withdraw I 140 after you leave them?

L1-B issued on 2012 and want to move to GC throw my employer

Your company has to work with an attorney. I assume somebody helped them with your current status, so that person is in the best position to assist...

Citizenship and criminal record

If the question asks about the charges, then yes, you have to answer it truthfully. It is best if you work with an attorney.

What happens if I mail original police clearance letter to nvc, do the consulate will ask new one during time of interview?

You should mail the originals only if you specifically were asked for them. If you were asked to mail copies, you will bring the originals to the...

Is it possible for my brother to obtain a green card? I have American passport, my mother has Green Card.

It is possible, but it will take at least 10-12 years.

Are you the US citizen or the AOS applicant? What does online case status say? What about your attorney? Are you sure the interview went well? Did...

Please help?

No, there is no automatic conversion. You have to submit change of status application and have to do it ASAP.

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Throughout immigration progress are you allowed to live with a felon?

I would say yes... there might be some other issues here, like child protection policies in case a felony is for a specific crime... But generally...

Can i apply for green card through Marriage when my change of status is pending with USCIS.

I believe you are little confused here. If your husband is applying for permanent residency, most likely you are included in the application. ...