The first observation is that the wash water return (top, rear, right) was full of lint. This suggests to me that perhaps the recirculation pump has a worn impeller and is no longer providing adequate flow. Does this make sense? I seem to remember replacing one of these. It may have been on the original machine. I cannot find any notes.
A failing, almost 70-year-old memory demands that I keep notes now, a digital diary with plenty of digital photos. They are a great help in deciding who goes where when it is time to reassemble. Here is one other suggestion FWIW. As you start, grab a piece of corrugated cardboard and poke all the screws and bolts into it as you remove them. Write a note next to them. Include the wrench size if you want to save time when reassembling or another time. Put the list into your appliance diary when you are done.
I popped loose the agitator cap and applied a few drops of Liquid Wrench to the splined shaft end through the openings in the top of the agitator. I gave the end of the shaft a few taps with a rod and hammer (to get the penetrating oil into the spaces between the agitator and the spines.) With a few minutes of rocking and tugging I removed the agitator. It is full of soap scum underneath. I lifted a small plastic cap at the bottom of the shaft and exposed three bolts that hold down the inner tub and some connecting hardware which I assume connect the shaft to the transmission. Is there a parts blow up I can copy from the web some place? The top of the shaft is quite rusty. Has anyone used Loctite's Extend for rust like this? Click on this link for more information. Extend I also noticed a few bare steel rusty patches on the outer tub, near the top, where the inner tub and outer tub have clashed. I am tempted to try Extend here, too, perhaps followed by a good metal enamel paint.
My wife is concerned that there may be rusting around the drain holes in the inner tub. Is it a big deal to remove the inner tub at this point? Is there a tutorial for this somewhere? I have read that what looks like rust may, in fact, be transmission oil leaking from a worn transmission. Would I pull the inner tub to replace it anyway?
Thanks for any insights on this project at its current state of progress.
FWIW and if it is permitted, well stocked appliance parts shops are getting harder and harder to find. For appliantologists who live in Santa Clara County, California, I've found what looks like a well stocked business:
Premium Appliance Parts
3445 El Camino Real
Santa Clara, CA 95051