J 1 to F 1 with 2 Year HRR. W/O Waiver can I get F1 visa?

No you cannot get the F-1 without a waiver of the 2 year foreign residency requirement or without spending two years out of the US.

H1B period after L1B 5 years cap completion

The five years on the L visa will count toward the total of 6 years you can have for the H-1B unless you spend one year outside the United States...

Can applying for Food Stamps affect my GC future application ?

No this will not affect your green card application. You cannot go on welfare. Your wife is a US citizen and is able to apply for the WIC benefits.

Yes you can work both jobs full time if both applications are approved.

Will medical bills affect the sponsor my mom got to get her green card?

No the cosponsor will not be required to pay this debt.

Looking for a good Immigration lawyer with offices in Queens, NY.

Check with the bar association in Queens or check with the American Immigration Lawyers Association "AILA" to find one there.

How do I convert my J1 visa status to H1B or F1

You can apply for a change of status from J-1 to F-1 provided there is no two year foreign residency requirement on the J-1.

About H1B Advanced Degree Cap

Great question. The master's degree must be from an accredited educational institution. If USCIS recognizes such degrees from this online program...

My new job offer date is feb 9, 2015. My opt ends feb 2, 2015. I applied for stem extension with Jan 26 as start date.

You must talk with your employer and his attorney to get your answer.

What is the process of getting legal documents for an immigrant without any documents?

First he needs a birth certificate. Second, if he has graduated high school or is in school now he should apply for DACA. You and he should then...