1. Your husband will be out of status be operation of law as soon as he ceases employment with his H-1B sponsor.
2. Yes, your husband will begin accruing unlawful presence as he is no longer in status. He also cannot seek to change his status or transfer his H-1B if he failed to maintain status.
3. The transfer will likely be denied if he was out of status at the time of filing.
You can read more about H-1B at http://myattorneyusa.com/work-visas.
Answered on Jul 21st, 2016 at 2:39 PM