This is a Tecumseh coil, John Deere ignition module and hardware that can be used to replace a failed Prestolite coil on an 82031 engine. The plug wire is a bit too long and it needs a spark plug boot. You need to remove and replace your Prestolite coil with the Tecumseh coil, plastic spacer and steel retainer. I suggest mounting the ignition module somewhere on the frame so it is easy to get to.
John Deere: M70114 ignition module
Tecumseh: 30546, 30560A coil
The picture below shows how to install a PVL coil onto a Prestolite fork. This is the same procedure as installing a Tecumseh coil.