Coming from another huge TRS fan, I have to somewhat disagree with your song choice for a new listener. I'd go more with Cross My Heart, TV Family, Around The Clock, Goodbye Waves and Driveways, You Gotta Believe and of course pretty much anything from Do You Feel. I almost despise Brat Pack haha.
Edit: oh but I HIGHLY agree the end is the best, most intense moment. I literally look forward to it each show. You get chills.
I just choose my favorite songs at the moment, though, I do agree, they are probably not the best first songs to choose for someone! Well, actually, I stand behind my suggestion of Walls. That song has not left my ears since I first heard it, pretty much.
The chills I get during that part as so amazing and intense! For some reason at Warped this summer, it gave me so many chills that I got a little misty eyed. So intense. So wonderful.