I am a freshman at Yale and my best friend is at Princeton. She got into Harvard, MIT, Princeton, and unfortunately rejected at Yale. We are both STEM majors, and she wants to major in either mathematics or physics. Based on our discussions, our universities seem very comparable on 1 - 4 but no idea about 5.
Yale is a great university, hope you enjoy YES-W this weekend. And good luck with the other places on your list.