Thanks to everyone for all of the helpful advice! It's now been 24 hours since taking the battery off the charger and leaving it on the bench. It now reads 12.78v. While it was out of the tractor I completely removed the negative battery cable and checked the resistance from the clamp to the connector. It seems fine and measured 0.1 ohm. My volt meter actually reads 0.1 ohm most of the time when I contact the leads together, so I feel like the negative battery cable is good. I sanded down the connecting area and the connector to shiny metal before reinstalling.
Next I would like to eliminate the possibility that a faulty glow plug circuit isn't turning off after starting the tractor, so I started looking for the glow plug that has the positive connection, but I don't know exactly what it looks like or where it is. I found what I believe are 4 glow plugs in a single row and one glow plug not in the same row as the other 4, and that confused me. On the 4 in single row there is a single metal strip connecting them together. The confusing thing is that I expected to see all the glow plugs in a single row with positive connected at one end and negative connected to the last glow plug in the row. Something like this:
+ terminal connected to GP1 -> GP2 -> GP3 -> GP4 -> GP5 - terminal connected
What I think I'm seeing is like this:
- terminal connected to GP2 -> GP3 -> GP4 -> GP5
+ terminal connected to GP1
The one not in the row with the others, that has what I think may be the + terminal, has a spade type connector, so easy to disconnect. This is located on the right side of the engine under the fuel cap area.
Can anyone confirm that this is the positive terminal for the glow plugs? If so, my plan is to reinstall the battery, turn on the key but not start it, check the voltage at the + terminal of GP1 to confirm voltage, then check voltage at + terminal on the alternator and note it, then start the tractor then check the voltage again at the + terminal of GP1 to confirm that its 0v, then check the voltage again at the + terminal of the alternator again. I assume it should be over 13 volts at fast idle.