I have discovered a very easy way of testing this pump without removing it or any coolant lines attached to it.
Considering that this pump is wired properly and all connections are fine, fuse ok etc etc. do the following
At the end of the motor, you will see a black plastic protective cap, gently pry it out with a screw driver( dont loose the cap). Now you will see a steel center which is the shaft of the motor.
Now turn on the engine, and engage the temp setting to full hot, and press the defrost button. This by default must and I say it again MUST kick in the aux water pump.
Now go to the pump, and put your finger to the center of the shaft and feel for the rotating shaft. If you feel that the shaft is turning, the aux pump motor is fine. If its not turning, tru gently tapping on the electric motor(not plastic pump) body all around, sometimes, the worn out brushes do make a contact this way and may last you for few months or more.
ALSO LOOK FOR MY PREVIOUS POSTS FOR REPAIR OF THIS PUMP WHICH IS A LONG SHOT BUT MAY WORK. MINE IS STILL WORKING AFTER A MINOR REPAIR.
Do a search under my name mvk and keywords watre recirculating pump repair.
http://www.peachparts.com/shopforum/showthread.php?threadid=38739&highlight=water+recirculating+pump
Hope this helps
MVK