Exactly, whereever you go, you'll (hopefully) qualify as a doctor, and it will have little influence on your career. What's important is you choose the right place, as believe me, medicine is difficult enough as it is, without not enjoying your course or where you are living. 5 or 6 years is a long time so you need to make the right decision.
All medschools are roughly equally competitive to get a place in - the stats don't really mean very much.