I know I've seen a thread on this before, but I can't find it now. Is there a way to unstick a box of frozen blades? For example, in dealing with a dispenser of Gillette Bleue Extras, I typically have to open the dispenser and physically pry the blades apart. I seem to remember something about soaking the whole dispenser in some kind of alcohol, but I might be making that up.
Soaking in a good penetrating oil like Kroil might work for you. It's good stuff. http://www.kanolabs.com/
I have had success with the alcohol soak. Just drop the whole dispenser of blades into a small container of isopropyl alcohol 91%. Put a lid on it and let it soak for a couple of days. The blades should loosen up.