Could not find a 01JSP0 . The following is for a 01DJSP0

Here are your parts
Replacement parts for WHIRLPOOL KUDS01DJSP0 Undercounter Dishwasher | AppliancePartsPros.com

Here is the tech sheet
http://www.servicematters.com/docs/wiring/Tech%20Sheet%20-%208269519.pdf

And a manual
https://secured.whirlpool.com/Service/SrvTechAdm.nsf/2cd44500d572193285256a45004fd9d6/4e8b0d2df77cd7e585256cd800643b6d/$FILE/KD01.pdf

Sounds like the motor may be toast.
Check the windings with a meter.

Could also be a bad wire from the control to the motor, a bad capacitor or a partially shorted winding though you usually hear the motor buzz or a jammed motor.

Questions:
[COLOR="Blue"]1) if the windings test badly does that mean I need to replace motor?[/COLOR]
Yes
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2) How do I access motor? Is motor accessable from the front - or do I need to pull out the dishwasher and turn it upside down?[/COLOR]
Depends on how good you are at working in tight places. You may have to pull it out some but should not have to turn it upside down.
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3) Do I order new motor AND pump or are they the same?[/COLOR]
Comes is a number of ways(just the motor 20, the pump/impeller 10 or the entire assembly 14) see section 8 in parts.
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4) I do see a wire from the control panel leading down somewhere. Is this the (possibly bad) one being referred to in your reply?[/COLOR]
Just trace the ones back from the motor.

[COLOR="Blue"]5) Is the capacitor easy to replace if the motor is good? (Though I don't hear a buzz)[/COLOR]
Not very difficult.