Do I need my original birth certificate ??

I would travel with either the original birth certificate or a certified copy along with your passport.

My H-1B petition is not selected this year. Will it leave any record in USCIS? Will it affect F1 OPT visa stamp renewal?

It should not negatively affect your OPT

Removal of conditions on marriage.notice of action requiring more evidence. relocated to field office. do i need an attorney?

Sounds like you have a lot of documents, but should probably speak to an immigration attorney about other aspects of your relationship/marriage....

My h1b was filed by one company i94 valid till 9/30/14 then I transfer my h1b to university i94 valid till 5/20/15

Your latest approved I-94 should be valid if you are continuing working for that last H1-B employer.

Can I travel while I wait for my green card to get to me?

Yes, schedule the infopass appointment and get a stamp before leaving the US.

Marriage abroad, Immigration

It's an issue with this marriage - it's not valid. You need to get divorced with the previous wife and get married again with your current wife.

Will applying for an r 1 visa effect my visitor visa

Yes you can travel on B visa while your application for R visa is pending. You just need to give the reason for traveling to the U.S. that's honest...

If student visa refused or rejected, can I grant Immigration Visa?

If that's the reason for F1 rejection it will not negatively affect your immigrant visa.

You can apply for renewal not earlier than 90 days before expiration of your current card.

Inquiry about change in name due to marriage

Yes, and also have your birth certificate with the English translation.

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