There is a technical penalty that NYS imposes. But for practical purposes, you should keep contacting the company for the notice.

You don't permission for this. This is similar to a news site giving information about local businesses. Also, it's free advertising which is...

Did all the documents come in the end? If not, then you need to keep contacting the office to complete the transfer.

You would need to notify the father. You can read more about the process here: https://nycourts.gov/Courthelp/NameChange/childnamechange.shtml

There's no deadline, but it's not something you want to unnecessarily delay.

I'm not sure what exactly you are looking for, but New York State has a few resources to help with issues from the...

You were either putting in the information incorrectly, or the website was undergoing maintenance.

Before you sue, tell your landlord about the issue and get him to bring in an exterminator.

If you're clueless as to the basis of the accusation, then just ignore it and tell management to check the security cameras to verify the stories.

Your best course of action is to break up.