I am on L1 Visa valid till 2015 Dec, I have applied for H1B in 2013 under COS, My H1B approved with I-94

It appears that you have not complied with your Change of Status to H1B. You should talk to your employer's immigration attorney.

Background check by USCIS- Address verification

Where you have been living should not effect the approval of your OPT as long as you have accurate records.

H1B VISA as well as I-94 Is valid till Oct 2016 but his I797B is valid till Oct 2014. what will be the issue with this

You should seek the assistance of your employer's immigration counsel.

Can you apply to be a US citizenship while in jail?

In order to be a US citizen your brother must have good moral character. The fact that he is in jail will makes it unlikely that any application...

I am F1 student. My OPT was approved but I haven't gotten the EAD. Can I apply for SSN with my I-797 approval notice?

Yes you should be able to obtain your SSN with the I-797 approval notice.

When and how should I apply to extend my L1-A visa?

You should hire an attorney to assist you with the renewal of your L1A. You do have some time but it is always better to start preparing sooner...

I have a B1/B2 visa and want to open a C-Corp. I already have SSN. How do I handle the Officer issue to not violate visa status?

You need to sit down with an immigration attorney with all of your paper work to best evaluate your options.

I want a divorce, but my husband is on a conditional green card. What will happen to him?

If you are able to finalize the divorce with a divorce decree he will be allowed to file the I-751 with a waiver of joint filing.

It is not likely that you will be on the hook for your father in law's medical bills. Hope he has a speedy recovery.

You are no longer eligible to use your ESTA visa. You should be able to come to the US on your tourist visa.