Please provide your expert advise for my current scenario.

Just refile the EAD with the new receipt notice

I am a RN residing in mesa ,AZ.I am on a h4 dependent visa.Can a non profit county run hospital apply h1b cap exempt visa

The hospital can sponsor you if it is an non profit that is affiliated with a higher educational institution.

I-90 form,Part 3. Processing Information: I'm not sure how to answer this question because I won Green Card and came to US.

The answer is Moldova. You applied for an immigrant visa and received a green card when you arrived here.

Name change on the green card

It does not matter. If before you will then need to change your name in your passport as well so that they match for travel purposes

Should I leave US for homeland and come back after visa petition is approved if I am out of H1B status?

Yes you should avoid as much unlawful presence as possible. Because you are out of status you will not be able to change your status in the USA...

I'm planning to file for Permanent Residence / Adjustment of Status for my wife's green card. Am I doing this right?

You also need to file an affidavit of support, biographic information sheet for you and your wife and should also apply for work authorization and...

How to renew my work permit?

Submit all your receipt notices, passport photos, front and back of your EAD card, EAD approval notice, and the supporting documents you submitted...

Liquidated Damages for H1b related to recruitment, orientation, training and travel.

Your employer should give you a break down of what makes up that amount. Your employer cannot ask you to pay for fees associated with the PERM...

It will probably be denied as you have an immigrant visa pending.

Hi, Can I recall an application for withdrawal of i 130 application?

Consult an attorney as soon as possible and check that she qualifies for adjustment of status.