Yes, if that is your residence you can use that address. But your interview will be held at the district office that has jurisdiction over that address so if you are still working your rotation at the time of the interview you will have to return to there for the interview.
It appears that this would be the most appropriate permanent address (though it doesn't relieve you of the AR-11 obligation to inform of the interim addresses). Yes, you will be pulled back to your parents location for Biometrics Appointments, the interview, and any other action on the case.
Yes. As a student, you can use your parent's address as your permanent address.
J Charles Ferrari Eng & Nishimura 213.622.2255 The statement above is general in nature and does not constitute legal advice, as not all the facts are known. You should retain an attorney to review all the facts specific to your case in order to receive advise specific to your case. The statement above does not create an attorney/client relationship.