I'd recommend visiting 3 Rivers Archery's website, which is a sponsor of this Forum. They have a selection of shelf rests and bowstrings. A simple leather rest would probably work fine for you, or you might want to try a calfs-hair rest. Usually, the rests have a peel-off backing, with adhesive underneath. If there is a mess after you peel off your old rest, you can clean it up with Goof-Off or a similar product.
Do you mean your bow was made in 1968? If so, you will definitely want to use dacron bowstring, as opposed to fast-flight. I checked and 3 Rivers also sells already made bowstrings made of dacron. I've never tried any, but everything else I've bought from them has worked out fine for me. I would replace the bowstring ASAP if you don't know its history, as that is cheap insurance against a catastrophic broken string while you're shooting the bow.
BTW, in the future, equipment related questions should be posted in PowWow, and shooting related questions should be posted here.