Eric on the lathe motor, Was this a new motor? Kinda early for a motor to fail, but it can happen. I assume the it is a belt drive to the headstock spindle, correct?
Always check the basics 1st. Inspect the plug and receptacle where it is plugged in. Check the cord to make sure nothing has happened to it. Before removing the receptacle be sure to turn the power off to it at your breaker panel. Verify that it is off. A loose wire in the plug or receptacle can cause problems. If you have a volt meter confirm that the correct voltage is present, which should be about 110-120 Volts AC on a standard receptacle, or 220/240 if a 220 plug.
Is the motor making a noise, vibrating, getting hot, loosing power, stopping? What are the symptoms?
If the spindle is belt driven is the motor rated for a side load on the shaft? Some motors are designed for side loading some are not.
How is the speed controlled? By changing the belt to different steps of the pulley, variable pitch pulley, or electrically?
If it is electrically controlled the controller could be bad, also some motors do not respond well to having their speed controlled electrically.