Hi, mhaque:
I can not help you with your issue. However, I have a question about your situation.
You said that your H1 is still valid till middle of next year, you never applied for employment authorization and you used your Advance Parole once last year.
My question is: when you used Advance Parole to enter USA, your H1 visa would be invalid. How can you work without EAD?
Thanks
Luckyray