Yes, you can tighten the bands on a C4. Go to the FAQ section and look under the heading of "Transmissions." Just for grins, take one of the back wheels off and see if the emergency brake was left on during those 5 years of sitting. The shoes will weld themselves to the drums, and you will get that same kind of reaction from the car. Just see if you can turn the drum by hand while in neutral. If it is stuck, you won't be able to move it.