Not sure why all the confusion in here. Here is the simple way to run the Weather and Climate Toolkit:
First, make sure you have Java installed on your machine. If you don't, a Google search for Java will help you take care of that pretty quickly.
-Go to this URL:
http://www.ncdc.noaa.gov/wct/install.php
-At the top of the page, under "Web Start Installation", you should see a large green button that says "Launch". Click it. When a prompt comes up asking you what you want to do with the java-based file, click "open it" (or whatever similar option there is to open the file)
-A small window should open on your screen regarding loading the Java application. When it finishes, another window should open asking you if you want to run the application (the NOAA Weather and CLimate Toolkit). Click "Run".
-After a moment (there may be some downloading of base maps the first time you run it) the WCT should open up.
-A data selector window should open with the application. If it doesn't, go to "Data" -> "Load Data" in the menu across the top of the main window.
-Look for the tab that says "NCDC HAS Order". Click on it and insert your HAS order number into the text box. In your case, it would be 010445643. Either hit "enter" or "list files" and the data should pop up in that window.
Let me know if something didn't work. If your machine works like mine do, this will install a quick set-up version of the software on your desktop for you. This will make it much easier to run it in the future (just double click the icon).