Thank you, dear 8-teacher.
What status will I be in if my son is a F1 holder?
-Your status can not be related to your son F1 status. You have to have your onw status, whatever such as F1, J1, H1, B2, etc.
As you might know, government agency seldom does sponsorship. There might be some exceptons with IT jobs.
Do you know anything about sponsorship at an independent city government agency such as Baltimore city government?
-I have no idea about this kind of things.