Hey DrNoodles85 -
Oy, sorry that it's not working for you. But thanks for sending those log files. I've seen similar crash reports from a couple other people. The top line of the Java Frames section:
org.lwjgl.opengl.WindowsContextImplementation.nCreate
... seems to suggest to me that it's having trouble creating the OpenGL context. Search results for that line always brings a bunch of Minecraft bug reports, in which the usual recommendation from people say to try updating your graphics card drivers. So that might be something you want to give a try? I'd have a hard time believing that an Alienware M17xR4 hardware wouldn't be able to support OpenGL haha
I know it's not the most convenient thing to test out, but not sure what else I could suggest at the moment (besides the 'ol Turn It Off and On again). If you try updating your drivers, let me what happens.
Random other idea: see if you can force your laptop to use it's dedicated graphics instead of the integrated Intel HD 4000 one?