Okay, I updated the Enviroment since I did install the updated version of Java, 64-Bit. However, it still crashes. I provided the result of the crash with the new 64-Bit updated Java.
Okay, I understand that so I re-edited my original question since the vanilla minecraft creating a new single player world still crashes the 1.7.4 launcher upon pressing the "creating new world" button. I provided a new crash report that appeared after re-trying to create a new single player vanilla world.
I sent the crash report in.
^ Yes, that fixed the problem. It opens it up now and let's me create worlds now without crashing. Thank you <3