I have a CR 20 that is about 20 years old; it was a hand me down about 8 years ago. The electric starter was broken when I received it, but the recoil starter still only takes 2-3 yanks to start, even after 20 years. Not having ripped one apart, I don't know if the broken piece is essential, but the recoil is easy enough to use. If the thing fires up, I would not worry about it.
Check the condition of the rubber vanes that throw the snow. They are about $100 CDN to replace.