Do you think I have a good shot at Lehigh University....?

Your stats are better than mine were when I got in ED in 2005. I am a legacy, and that does seem to mean more at Lehigh than most other school. So, having three cousins there is pretty good for you. If you are planning on going to med. school you should do engineering though. After all, that is what Lehigh is known for, and med. schools love engineers.