ROBERT C. - Welcome to the forum. Congrat's on getting a '62 Cub Cadet. Nobody makes a replacement mower deck for that vintage CC as far as I know. It was only made for maybe three years tops. Maybe the prior owner used the tractor for something besides mowing. Anyhow, Be easier to answer questions if We had pictures. Maybe the prior owner reconditioned the deck before selling tractor & mower.
If You click on the colorful boxes right under the picture of the Cub Cadet that looks like Your tractor those suppliers can get you any part You need to fix up Your new Cub Cadet.