Troubleshooting DC motor
If your motor doesn't work when connected to the 9V battery, either the battery is flat (which is likely since you were able to connect the LED without destroying it!! - they are a 2.5-3v part, not a 9v part) or the wiring to the motor is damaged. When you connect the motor directly to a 9v battery, it should turn pretty fast - may also work if you connect it to between 2 &amp; 4 AA batteries. 

9v batteries don't have that much energy in them... you would be better off with a battery pack with 6 AA batteries in it.