You should ask them 2 questions and 2 questions only --
1. Can you get me a job.
2. Can you get me a good fellowship.
And yes -- it they have to "get you" one because skill has absolutely next to nothing to do with how you get a job or how you get a fellowship. It is all a big game and if you don't play it right you will find yourself in the unemployment line next to some of your fellow BC Pathologists.