You may request a custody redetermination with an immigration judge after 180 days has elapsed.

On a sentence of 180 days would it affect my imigration status (green card holder) charges are petty theft w/priors petty theft?

Yes. Multiple petty thefts can subject you to deportation. Consult with an immigration attorney for more specific advice.

How to make sure that my RFE response has been received by USCIS ?

We always send RFE responses via certified mail or FedEx, to ensure a record of actual receipt.

Contact the local Medicaid office for that information.

I have 2 years conditional green card will expires on feb 2015. Now a days my wife got me extreme hard time.

If you cannot file a petition to remove the conditions on your residence jointly with your wife, you must request a waiver. Consult with an...

Immigration question

Probably a tourist visa (B-2).

She is only required to list biological children. In any event, she can mention all "children" at the interview to clarify the record.

MTR

That depends on a host of factors, including why "detailed letters" were not available when the petition was filed. Consult with an immigration...

Yes, once you have received your work authorization you may commence employment or self-employment.

Green Card from J1

Consult with an immigration attorney once you have arrived in the US for a full assessment of your case.