That should not cause any problems as long as you do not actually travel out of the US.

Can I enter U.S. with my another passport to U.S.?

You can use either passport to enter the US.

On H4 EAD and received H1B approval without Change of Status.

Unfortunately there is no stand alone change status for Hs. Why wasn’t it requested with the petition?

Will going to the American embassy in Cairo help with our case?

Going to the consulate will not do any good. Unfortunately you must wait for CIS to send the Notice of Intent to Deny and respond to that.

If I apply for OPT and apply for a greencard. will my OPT be revoked?

No, it will not be revoked. OPT and your marriage case have nothing to do with each other.

Change of status from j-research to h1b within the US?

That would be fine except you cannot have any evidence of trying to change status within 90 days of your latest entry. Please consult with a Board...

I-551 current but IV date expired, Can I travel out and into the US?

The I-551 stamp makes your husband a permanent resident.

How to fix tax return form?

Be simply asks the IRS for a copy. It is very fast and simple.

Problems with extended stay abroad with Conditional Permanent Residence?

You really need to consult by phone with a Board Certified immigration attorney, or in person in December. You should not be out of the US at any...

Marrying a US national with b2 visa?

You cannot get married or file for a green card until you have been in the US for at least 90 days. After that, you can do whatever you wish.