I received my GC this year and planning to travel to my home country. The problem is I have a misdemeanor conviction in 2012

Before traveling it is best to have a consult with an attorney for full review of your criminal matter.

Yes you sign one as the beneficiary and your employer signs another as the petitioner.

Should I pay fees of applicant not immigating with me in F4 visa?

It depends on whether his age has been protected for purposes of the CSPA. If so you can pay the fees but if not, the information shouldn’t appear...

Why?

The petitioner who filed for you will receive the approval notice, not you as the beneficiary outside of the country.

Can i reinstate my daughter petition to immigrat in u.s because we forget to send to nvc the 6 step ?

It depends on whether the case was already closed or terminated based on activity within the last year. Contact NVC to determine if this is possible.

Form I797c without biometric appointment details

You will receive another notice with biometric appointment details.

My boyfriend is from Cuba and his work permit expired. What should he do to renew it?

If he is still eligible for an underlying petition, he can renew the work permit. Consider consulting with an attorney for assistance.

Can I apply for non-immigrant visa after greencard application denied?

With a criminal background, the chances of your F1 visa approval are limited. Consider consulting with an attorney for a full review of your case.

Can my Husband who’s a US Citizen Meet me in a Different Country While Our Case is Pending?

No you can visit one another in other countries while your petition is pending, without impact to your petition.

Can I claim my ilegal husband and help him get a green card without him having to go back to his country ?

If he entered the US legally and is married to a USC in good faith, he may be adjustment eligible. Consult with an attorney for assistance.