I will look into this and see if any issue is there... I know it doesn't necessarily need to be in 1280x1024 as I run it in a 1024x768 window and my desktop resolution is 1920x1080 on all three of my monitors as the coordinates are based upon pixels. I think the issue lays with the fact that you laptop maybe stretching the resolution and I know sometimes on laptops this is unavoidable. have you tried running a 1366x768 desktop with a 1024x768 window and pulled the swtor window all the way to the left? without losing any of the window to the screen lopping it off?
Update: Ok I see the issue, 1366x768 resizes the window anyways in windows due to the taskbar. the only fix I see is making a 800x600 change from the original 1024x768. This is a ton of work... pixel coords, images, etc. All of these need to change if this is the case. I tried even hiding the taskbar but it is still off... hmmm. I make no promises.