You know you have to do at least 19 push-ups, with proper form, just to meet the minimum standard to qualify for service right?
I‘m just going through the application process myself, so I have no specific details, but as far as basic training goes, I have heard (from recruiters, and other CF employees) that you are basically learning the foundation of what it means to be a member of the CF. You do a lot of drill, you learn how to use, care for, and maintain the gear that you get issued. Learn how to follow directions, learn how to work as a team member. Also, you learn some basic field survival techniques, do some basic exercise, and learn to use (and clean) the C7 rifle.
As for the height restriction, I have no idea if there is a limit on your height for enterance into the air force. I do know you need to qualify to be an officer, if you want to be a pilot. I wouldn‘t get my hopes up too far about flying fighter jets, I‘ve heard that at least in the States, the fighter pilots are relatively short, but I have never seen the cockpit of a Hercules for example, and maybe its possible that they could accomdate a 6‘8" 230lb frame. I have a friend that fits those exact dimensions, and he drives a Porche 944, he makes it look like a toy he‘s so big, but he fits himself in there, so maybe there is hope, I dont know.
The Joint Task Force 2, or JTF-2, I don‘t know very much about. I know they are an elite unit. Where they come from, what exactly they do, when they were formed, etc. doesn‘t seem like common knowledge, so I think that says enough about weather or not they are "special".