Awesome Jed!
That's really a great find Jed! Not too many of these machines have survived this long. You are right that this is either a 1965 machine or a 1966. There were similar models both years. Give us the model number and we will know for sure.
As to the BOL-ness of this machine, yes, it is as BOL as you got for a 29-inch Kenmore fully automatic washer for 1965. The 000,100, 200 and 300 models were 24-inch machines during this time. Machines with timer set temps (in the Bol world) came later in the belt-drive history. There were a couple not-quite-automatic washers in this period that had no temp selections at all, just a single solenoid water valve that the user manually manipulated incoming water temp.
It wasn't until the later 60s or early 70s that the 100 series was available as both a 24 and 29 inch machine in very Bol garb.
This 400 model had a long lineage, with similar models available for 62, 63, 64, 65-66, 67, and 68, all only differ cosmetically.
The knocking in the spin is badly worn bearings. This is also likely why there is oil slung in the cabinet. Not sure that I would worry much about the gear case, those bearings need first attention. Good part about that is that the whole machine can be renewed during this exercise.
Gordon
