Doug -
It depends on your specific machine whether or not it has/had a start capacitor, but from my experience on that era of machine, the vast majority did not have them. Replacement motors from FSP (Whirlpool) have included start capacitors for more than 20 years, so there's no telling what your configuration is without looking at it. You should be able to see the capacitor mounted on the side of the motor, simply by removing the service panel.
Most of the machines in '73 were still standard capacity, and Whirlpool / Kenmore did not equip many of those with factory start capacitors except on 3-speed motors. From what I've seen, it seems like most of the '73 models had split-phase GE motors. The start capacitors were used on seemingly all the 2-speed large capacity machines, 1974-1986, GE and Emerson both.
Give the belt a tug when the machine is in neutral (make sure it has completely disengaged any spin config.) and see how easy the belt is to rotate. It should be fairly easy. If the pump is putting a drag on the system, you'll be able to tell.
Good strong motors though can usually pull through a siezed pump. The machine won't seem completely normal in other operations, but usually they function enough to agitate or spin. I've seen locked up pumps cause burned belts (from friction), stripped pump pulleys, and completely melted plastic pulleys (on cheap aftermarket pumps).
Even if both your motor and pump are bad, they're simple and cheap, relatively speaking, to replace.
One other thought - how long did the motor run before it cut off? It usually takes a while to trip the thermal fuse in the motor unless the bearings in it are really bad, or it's getting both low speed and high speed current simultaneously from the timer. That was a problem on some models back then, especially the Lady K. If that's what's wrong, the motor won't run long at all before it trips off, and sounds awful when it is running.
Good luck, let me know if I can help further!
Gordon