Your daughter's I-485 has been pending for wait too long. It is time to make an inquiry. If you want to hire an attorney, please see...

Can I apply for I-539 within the US while I-130 is pending? It is highly unlikely that your application for a change of status to J-1 would be...

What to do with my pending reentry permit case if I left before USCIS received it(biometrics reused)? Might be best to reapply.

Can she travel to India and re-enter the U.S. using her existing visa stamp from the previous employer along with the new H1B approval notice? Yes

There is no appeal when a US Embassy wrongly denies a green card to an applicant. However, where an Embassy has made a legal mistake in doing so,...

Please see https://www.avvo.com/legal-guides/ugc/4-tips-for-finding-the-best-immigration-lawyer-for-you

Do I need to request USCIS to correct the name? Relax. There is nothing that you need to do with the USCIS.

Raise immigrant intent or misrepresentation concerns at the visa interview? Yes. He should do consular processing.

Utah Class C Misdemeanor (41-12a-302) & Form I-485: Accuracy of "No" answers on Part 9 Your answers appear to be accurate.

Do I need to go through the H-1B lottery process again to obtain a new visa? No, you do not need to do so.