What's better for medicine : Oxford, Cambridge, Harvard or Yale?

Apply to both. Until you are an acceptance, you don't really have to make a choice. Both are wonderful schools.

Since both law and business are only offered as graduate programs at those schools, I'm going to assume that high GPA isn't from basic research skills.

I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.