Can my husband come back to US after being deported?

Unfortunately, no. There is no waiver for drug crimes other than simple possession of a small amount of marijuana.

Should I seek OPT or H-1B sponsorship?

I agree you should do both. OPT will allow you to work while waiting for the October 1, 2014 H-1B start date. Many employers do this.

Can I seek for H1B job in my F1 status? For example can I send my CV or resume to the employers or recruiters? Is it legal?

Yes, it is perfectly fine to do that.

Husband missed notice to appear before judge. We found out 3 days later we had the date wrong. We filed motion to reopen...

You should consult with an experienced immigration attorney immediately to look into the possibility of appealing the denial of the motion to...

For premium processing, your employer or employer's attorney should get an e-mail with the receipt number within 1 - 2 days of receipt by USCIS. ...

Can I change my F1 visa to an H1b?

If the petition for H-1B is filed within the 60 day grace period after expiration of OPT, then you could remain in the U.S. until the H-1B start...

Expired H1 transfer to other company while the current company filed extension

I agree you should avoid a gap if possible by Company B filing prior to your current petition expiring. However, since an extension has been filed...

My new company I-797 is valid till 08/16, but my previous company H1B VISA stamp is valid till 09/14. Can I work in US 08/16?

Yes, you can work until August 2016, the date on your new I-797. If you travel outside the US prior to Sep 30, 2014, you can reenter with that...

Risks of fireing an incompetent attorney before my petition is approved?

If you decide to do so, make sure you inform him in writing to send in a notice of withdrawal and to forward any further correspondence from USCIS...

Can i work with My EAD after H4 stamp?

You can't work on H-4 status, even though your EAD will not have expired.