You can look for jobs and if you find one, ask the employer to sponsor your visa.

Appears you are cap exempt and eligible for extensions beyond the 6th year

May be eligible. Exact dates are relevant to cosider eligibility.

Yes, can be used if still valid and not cancelled

Can a small business sponsor an employee from outside USA? Yes

If you worked in the U.S. for foreign employer, it results in violation of your status.

Can I choose to re-enter the US on my H1B instead of the Advanced Parole document if I am an I-485 applicant who has both? Yes

If she is in the U.S., entered with inspection and you are USC.

Can I move to India for a year while EB2-PERM is pending and I-140 can be applied while in India ? Yes

As long as you worked for petitioning employer, you should be fine