For the sake of even more completeness, here is the code to get the width, height, and Retina scale of a specific display (main or built-in).
This is the code to get the resolution and Retina scale of the built-in display:
set {width, height, scale} to words of (do shell script "system_profiler SPDisplaysDataType | awk '/Built-In: Yes/{found=1} /Resolution/{width=$2; height=$4} /Retina/{scale=($2 == \"Yes\" ? 2 : 1)} /^ {8}[^ ]+/{if(found) {exit}; scale=1} END{printf \"%d %d %d\\n\", width, height, scale}'")
And this is the code to get the resolution and Retina scale of the main display:
set {width, height, scale} to words of (do shell script "system_profiler SPDisplaysDataType | awk '/Main Display: Yes/{found=1} /Resolution/{width=$2; height=$4} /Retina/{scale=($2 == \"Yes\" ? 2 : 1)} /^ {8}[^ ]+/{if(found) {exit}; scale=1} END{printf \"%d %d %d\\n\", width, height, scale}'")
The code is based on this post by Jessi Baughman and the other answers given here.