What s the meaning of overstayed exactly base on US rules?

As I understand your question, you only had one B1 visa -- the B1 which expired in July 21, 2012. Since you withdrew your asylum application, your...

Will we be able to do his papers from aboard in Israel and would it complicated the situation like make it a longer process?

We need to know what you mean by "he isn't legal": Did he enter the US without any legal status (in which case he needs a waiver)? Or did he...

Would it be wise for him to apply for a visitor's visa before we get married or after or any at all?

You have several issues to worry about. He shouldn't apply for a visitor's visa if you get married and he intends to immigrate; he will be denied...

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Change of status J1

You cannot change status to B1/B2 within the U.S. if you have a home residency requirement outstanding.

Deportation

Talk to an immigration attorney well in advance of any release from prison.

Accruing of unlawful presence (3 and 10-year ban)

The fact that you quickly applied for COS may possibly benefit you, in which case your overstay would be deemed to have started on January 28. In...

Can H4 travel outside US while his/her H1B is in process??

One consequence of leaving the country is that the change-of-status portion of your petition will be deemed abandoned. This means that even if...

In theory, yes, but it could be a fatal mistake. Only through a deposition can you find out what the other side's testimony at trial will be, so...

Who would sponsor me if my wife was a stay at home mom with no income on previous tax years?

Anyone who is willing to sign the affidavit of support and has the needed income (as discussed by Ms. Gavlin.)

Is there any other way to send those documents again?

You need to retain an attorney to file a Motion to Reopen.