Yes you are allowed to remain in the US while your application is pending. You should consider consulting an experienced immigration attorney to review your case before you are called for an interview. The attorney may be able to identify additional evidence that can be submitted and can represent you at the interview. I would be happy to help.
Moore Law Group, PA
2300 York Road, Suite 213
Timonium, Md 21093
It depends on how much time you accrued here in unlawful presence. If it was more than 1 year, you wil likely need to stay out for 10 years, unless you can get a waiver of inadmissibility. If you had less than 180 days of unlawful presence, you would not be subject to a 3 or 10 year bar for unlawful presence. Talk to an experienced immigration attorney before doing anything. Good luck!
Your mom would not have to pay a fine if she overstays her stay as listed on her I-94 card and then applies for her green card through you, her US citizen daughter. USCIS "forgives" that violation if someone is applying for permanent residence through their USC spouse or adult USC child. But it is an immigration violation to stay beyond what is authorized. So the big risk would be if for some reason you were not granted US citizenship, and then your mom has overstayed her stay by more than 180...
The H-1B petition is the petitioning employer's so they must respond to the RFE. I suggest you contact the employer directly and see what they are doing to address the RFE. After all, it is possible the lawyer is not communicating with the employer either. If the employer wants you to work for them, then they need to respond to the RFE in a timely fashion.
Was an estate ever opened for your mother's estate? If not, you will need to file papers with the Register of Wills for the county where your mother lived, along with the original will. Then the Register will appoint the person named in the will as Personal Representative, and give that person Letters of Administration to act on behalf of the estate. With those Letters, you can have the power to sell the home, charge rent to your sister, etc. I would be happy to assist you.
If you arrived in the US before turning 16 and were under age 31 on June 15, 2012, you may be eligible for Deferred Action. If granted, you would be able to get a Maryland ID, and a social security number and a work authorization. Please let me know if you would like assistance.
Moore Law Group, PA
Filing I-485 will not affect your J-1 status, but you will need to file I-131 for a travel document if you need to travel outside the US while the I-485 is pending. You should definitely consult an experienced immigration attorney as filing for a national interest waiver is not easy. I would've happy to assist you.
You should file a motion with the orphans court to demand that your brother distribute the house. Then if you all agree to sell you will all need to sign the deed to transfer the house to the buyer. You should definitely look into hiring an attorney to assist. You might also be able to file a claim against the bond for any possible negligence or intentional acts of your brother.