How can i Correct this mistake on my i765 submit and rejected to me back?

For a spousal adjustment of status work permit, you should indicate C9.

Traveling with a green card ?

You should provide a statement of the discrepancy and explain this at POE if requested.

Yes when applying for adjustment of status through USC spouse you must disclose all previous work even if unauthorized.

Can someone get arrested coming through immigration back to the U.S. based on a bench warrant issued for child support?

Most likely yes as this bench warrant will appear on the CBP database.

Just want to know if I should withdraw petition for Jamaican husband after usci visited found out were separated boyfeind home

Yes if you are no longer planning on proceeding with the marriage, you can withdraw the petition with USCIS.

What are my chances of getting a visa after my community service?

More information is needed in order to provide a thoughtful answer such as the actual conviction. Your visa may have already been cancelled...

Yes - you can extend your visa based on the evidence you are able to provide. Consult with an attorney in private for further guidance.

Can I immigrate to the U.S. ?

Normally, once your priority date becomes current and your visa becomes available then you can proceed with immigrant visa processing. Under the...

H1b Scam by IT consulting company?

You can and should report the fraud to USCIS, ICE and the Department of Labor.

I wasn't asked any question, but my case was adjourned to Feb ,before I traveled back to Nigeria upon urgent call as regards my?

Yes a visa can be cancelled without your consent as this is not standard practice of the DOS.