If I cannot get a NORI from India, and I am on a J1, what are my options to be able to work in the US as a surgeon?

Here is some information on J1 waivers. https://travel.state.gov/content/visas/en/study-exchange/student/residency-waiver/eligibility.html

Can I file change of status for my mom n dad. they are over stayed in usa

If you are a US citizen you may pursue LPR for your parents. It is advisable to work with an attorney to be certain that there are no other areas...

You may pursue part time education on H1B.

Is it safe to stay on h4ead or we shall try for h1 ?

both options have their pros and cons. you will need to provide more details on your situation and specify the safety concerns.

it's best for you to depart the US.

Can i get the h-1b visa even if my US employer hired me for an unpaid internship ?

your internship abroad should not affect your h1b filing/eligibility

How does preparing for H1B work? How long will it take, what will I need and what is the estimate fee?

employers/attorneys usually start preparing in february. for uscis fee you may check filing fee for form i129. attorney fee varies.

It appears to be a violation of your H1B status.

Is Asylum case can harm my Business ?

asylum application should not affect your business. consult an immigration attorney to determine your eligibility for asylum.

One year continuous employment within 3 years requirement contradiction

you haven't quite described the facts of your case (for example dates of your employment with the foreign affiliate). it will be better to seek a...