For initiating the divorce process the marriage should be older by at least one year or more.
.) Should I come physically to india to file divorce OR can my parents file if I give power of attorney?
You can execute a power of attorney deed in favor of your father or mother to file a divorce case on your behalf but remember that you may be required to be present in person before the court for deposition of evidence.
2.) In how much time should my wife respond to the divorce petition in India that we filed? Presently she is trying to settle in USA and her immigration situation avoids is hard to travel abroad.
If it is a divorce case on mutual consent then she may be required to be present during filing and after 6 months during the second motion. If you intend to file a contested divorce case, she may have to appear before the court either in person or through her lawyer on the next date of hearing printed in the summons duly served on her.
3.) Can her parents attend the court in response to the petition?
Her advocate can represent her during her absence.
4.) In how many attempts or days will my divorce go to default if she doesn't appear in Indian court?
If she chooses to not to appear before court despite being served the summons on her, she may be set exparte n the next date of hearing itself after that upon evidence given by you, the case may be decreed exparte in your favor.
5.) How can we serve her when she is not there in India and cannot be found in USA
You have to send the summons to her last known address only, you cannot go behind her following her in all those addresses being frequently changed by her.