הארכת אשרת שהיה בארה״ב

You have a problem since you are already illegal you cannot now ask for extension. You can always do the lottery but if you win now you will have a problem if you are there illegally you will not be able to change your status if you win. If you leave now you will not be able to go back for a while as no one will let you enter even if you have a valid visa but you will not have a 3-10 year bar if you illegal less than 180days. But if you leave the U.S. now you will be back here for a good while.