I am I-130 petitioner for my wife and I put a wrong date of signature on my I-130. Would that cause any problem?

It should not be an issue. But you should correct the mistake at the interview.

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If my asylum is rejected will USCIS issue a new I-20 when I apply for opt?

An application for asylum should not impact your student status as long as you remain a full time student.

My GC has arrived while I am outside US, Can the Green card be sent to my foreign address through DHL Services, Is it legal&Safe

Yes it is legal to mail the green card to your foreign address. Be sure to have your wife make a copy of both the front and back before sending.

Can I change the status from TPS to Asylum

You should meet with an immigration attorney before applying for asylum. It is very important to have documentation to support your asylum claim....

How to correct a typo in the already filed I-130?

No this typo should not impact your application.

I got my political asylum granted on 9/10/2012 got green card stating resident since 10/22/2012 can I apply for citizenship now?

Yes since you have been a green card holder for 5 years you are eligible to apply for citizenship. It would be best to have an attorney assist you.

Will this affect my I-751 application to remove condition?

An infopass appointment should be a good option. The fact that your I-90 was denied should not impact the decision on your I-751.

Good morning? My green card expired 15 years ago, Id like to know if I could get it back

Need more information. However if you have been out of the US for an extended period of time (over a year) there is a presumption that you have...

My sister filed for my green card (form I 130) in 2013. Recently I applied for a visit visa and got one.

I agree with my colleague. You should provide lots of evidence of your ties to your home country and the most important thing will be the return...

What to do if you are in a process of visa extension waiting for change of status to F1 and you win Green Card Lottery?

As you stated as long as your case is pending with USCIS you are still in status. You can apply for the green card lottery when they accept...