J1 visa holder marrying a US citizen;how would this affect my internship at my company and my sponsor,CIEE.

As long as you entered the U.S. lawfully, you can stay in the U.S. with the green card application is pending.

My case is still pending and I need to change my address.

I agree with everyone else and I will add a warning tha tunless you change the address for all pending forms including 485, I-130 or I-140 or...

What if my fiance has my baby while the K1 visa is processing?

No, but she will have to notify the embassy and request a K2 for the child. A fiance visa includes the child of the fiance.

What should i do?

I'm not sure I understand the situation. Your f1 is good for duration of status, if you dropped out of school you did not maintain lawful status...

Can I apply l2- EAD with out l1 approval notice but L1 is approved under USCIS -decision

If you also applied to extend your L2, or if you are otherwise still in status, then yes, just print the online approval notice.

Am i uk citizen?

Yes, the U.K. grants citizenship to people based on birth in the U.K.

Will I bedenied re-entry with multiple shoplifting convictions?

Yes, conviction of a crime will prevent you from entering the U.S.

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Do you think I can overcome the grounds for a denial application for Naturalization (N400) with a Hearing on N-336?

No, under the regulations if you are separated you can't get it. You can also just refile once you have 5 years permanent residence.

H1B approved, Change of Status Denied, since payslips were not submitted in time during RFE phase, continued in illegal status ?

We have gotten cases approved where the alien fell out of status due to the employer's misconduct. Try a new H1b.

Can i get a green card, i am married with an us citizen, do we have a case, and how much will cost us?

Yes, you can file for adjustment if she files a visa petition for you. If she does not work you will need a joint sponsor for the affidavit of...