Can i still refuse unsupervised visitations? Am i overstepping my boundaries? will her argument hold up in court?

You don’t have to allow it but you should go through the courts.

What is the difference between vistation petition and joint custody

Did you ask for parenting time in your custody petition? If not then file a new petition or amend the old one.

Could taking my ex back to family court hurt me?

I don’t know that it would hurt you in this instance, but it has to be done well and you should get an attorney to represent you.

How do i can i remove my daughter's father from child support?

You cannot remove him. It is not in you power.

Green card application without having seen my husband in years?

You could apply what have you got to lose?

What constitutes being "under the influence of drugs and/or alcohol" for purposes of custody modification?

I would say if you were not drunk then you were not under the influence but this is subjective. Err on the side of caution and don’t drink while...

They can drug test you when under their scrutiny.

What happens if the mother is awarded full custody ?

You will have to pay child support if she is the primary custodial parent.

Can paternal grandparents travel with a child out of state on weekend that is the mother’s? How would a mother prevent this?

You need to file an emergency petition to enforce your time.

No. India will not recognize the divorce if your spouse did not appear in the action and it was entered on default.