Hi Steve,
Its interesting you ask about the rinsing because I was surprised to see how different the cycle is than my '66.
Here is the sequence in the '61:
No spray rinse during the first spin,
Fills the tub just to nearly full (but not overflowing),
Agitates for 1 minute without any water flow,
Overflow rinses with agitation for 3 minutes,
Agitates for another minute without water flow,
Final Spin (no spray).
BUT if you select Warm/Cold Wash-Wear on the temp dial the machine will do an overflow wash with cold water for three minutes to cool the warm clothes down before the first spin. No water flow if a warm rinse is selected.
My '66 Kelvinator:
Spray rinse during the first spin increment (warm or cold),
Fills the tub halfway and starts to agitate continues filling and agitating for two minutes,
Non-agitated overflow three minutes,
Agitation without water flow for one minute.