Many people cannot get to a new job in the conventional two weeks. Let the interviewer know if that's the case. If you're interviewing with other companies, say so. It is also appropriate to ask about the specific team or work group you'll be working with if you don't already know. Ask about pre-employment tests such as physical examinations and drug screenings.
Many candidates do.
Don't be afraid to ask questions or to negotiate. Become part of the culture. Besides the people we've always thought of, we now include the rural student, the first-generation college student, and other groups. Gutierrez-Hartmann, speaking from personal experience, assures us that it still can be. In families for whom money has never been plentiful, fear of debt may militate against a graduate career.