I think the voltage drop is your problem. The 50 series compacts seem to be plagued with this problem as they have gotten older. These tractors never had a relay in the starter circuit, so adding one would probably solve your problem. The voltage drops at every connection from the battery to fuse panel, to key switch, to neutral switches and then to the starter. By the time the voltage gets to the starter solenoid, you only have maybe 8 volts to engage the starter. Deere makes a couple of relay kits for different machines, but none specifically for the 50 series compacts. Some people have used AM107421 kit designed for lawn and garden tractors. I personally like the RE44536 kit designed for the older row-crop tractors. It has a very heavy duty relay and heavier wiring harness that I feel gives a better, longer lasting repair. Both kits come with instructions that will need a little modification to make them fit the 50 series.