Yeah, here's my latest update. Once I replaced the fuel pump, vacuum tube and battery, I attempted to start with no luck. I pulled the plugs and checked them again and I could definitely see them firing. On a whim, I adjusted the coils down closer to the flywheel and re-installed the plugs. Boom. Started right up burping out gunk and smoke - all that old oil and water that had collected in the cylinders. After a few minutes, the smoke died down and it was running decently. I tried to throttle down, but there was no response. When I looked, the linkage had come loose where it connects to the carb. I reconnected the linkage, but still no response to moving the throttle back and forth. I realized there was a lot of slack in the throttle cable, so I attempted a few different settings and then tightened the cable back down, but I just can't figure it out. I don't know where the throttle cable SHOULD be at Choke or Min Throttle. I need some kind of a reference in order to get it set up right. Any help in this area would be super.
Here's a short clip I took of the engine running
Next steps are to figure out the correct throttle cable settings to control engine RPM, attempt to get the tractor to drive and then I'll start putting the deck back together and assessing it's ability to cut grass. Still quite a ways to go, but it feels great to at least know the engine runs and seems decently healthy.