You cannot own any business other than your H-1 petitioner.

Can a person on H1B,USA will work in a different country(home country) with different Employer or organization in home country?

US immigration law only applies in the US. You do not have any US immigration status outside the US.

I got a notice of hearing in removal proceedings I have lost the paper

First, you need to consult with a Board Certified immigration attorney before you do anything else.

I94 Expired and out of status for more than a Year

You should consult with a Board Certified immigration attorney Edie’s you do anything.

Document for I-751 form

Your spouse does not have an A#. You need to review the information on the USCIS website to see what evidence is needed for removal of conditions....

I was a victim of crime few months ago and I managed to get signatures on I-918 form from one of the officer

Since you have "lawyers", that is who you need to discuss this with. Good luck.

What are the possible negative legal effects of marrying an illegal person here in the US?

There is very limited risk to you as a US citizen. Whether he can legalize depends on "hardship" to you if he must live of the US for ten years. ...

I was held up for secondary immigration while visiting on a b1/b2 visa, will I face problems with getting a j1 visa later on?

That depends on if any of the secondary inspection questions might apply to a J-1 visa and/or status.

H1B Visa renewal after 60 days grace period

He would file the H-4 COS on the 58th day or so, and then if he gets an H-1 job offer after the 60 days, he can piggyback the new H-1 on the...

Yes, you must file a tax return but before you do please consult with a Board Certified immigration attorney.