You should check the bottom of the J-1 visa issued by the US consulate. That information is much more reliable than anything issued by the...

Your wife does not need to be in the US for a divorce. See a family attorney about this.

You will not lose your green card but do not stay out more than six months.

If you work outside of the H-1 job, your H-1 is void. Then again in you have your EAD it doesn't matter if the H-1 is void.

Since the I-485 is pending it does not matter if the I-94 expires. Doesn't your immigration attorney know this?

It depends on the type of company. And the location.

We need much more information about your background and the nature of the company and the job you have with the company. Please consult with a...

You need to consult with a Board Certified immigration attorney and take a complete copy of your file along with the maximum penalty for that...

There are several solutions. Why not discuss this with your immigration attorney?

You need to discuss this with your new attorney with the new employer. He/she is your attorney also.