Can the mother of a 17-year-old move her from the mother's home to an out of state residence without informing the minor's father?
Only if the biological father of the 17-year-old has had his paternal rights terminated either voluntarily or by order of the court.
Can a married woman give custody of her child to her parent with out informing her husband and getting consent?
Can a cop enter your home if the door is open without a warrant if he suspects an under age drinking party?
It depends on why he is entering. Was he called to the residence? Is he or she doing a 'welfare check'? What type of call history has there been at that residence? If the police officer has an arrest warrant, and knows the person named in the warrant is in the residence, then in the state of NC, the answer is yes.
Depends, if you entered the country LEGALLY but overstayed your visa, then you can get legal residence without leaving the U.S. if you entered the country ILLEGALY, then you CANNOT get legal residence in this country, you would be required to travel to the U.S. embassy/consulate of your home country.