Wool can last for centuries if it is properly stored. There are many examples of medieval tapestries which have survived. I have a wool dress coat made in 1903 (or so) which belonged to my great-grandmother which looks like new. I also have one of her corsets.
Wool shouldn't shrink unless it has been soaked with water and not dried properly. Best storage method is in acid free paper, lying flat in a cedar chest to keep moths away. Leather is more tricky as it can crack as it dries out which is why proper storage is essential to prevent that. Polyester and synthetics deteriorate far faster because the chemicals in them break down over time. The original spacesuits from the Apollo missions are quickly falling apart. That said, preservation for natural fibers really depends on two things - humidity and temperature. Linen textiles from Hierakonpolis which date to 6000 years ago are still in (relatively speaking) good shape for their age because of the hot, dry climate in Egypt. Most museums monitor for humidity and temp in their exhibit cases and adjust both as needed. If stored properly, under ideal conditions, the fabric components of the original Vader costumes should survive for quite some time.