Blower motor only blows air on low

Your description sounds like a failed blower motor speed control. It takes the place of the old blower speed resistor. In the old version the resistor would drop the voltage to the blower to control the speed. The new units do something similar using pulse width modulation, in effect it turns the power on and off rapidly and changes the length of time for both the on and off times to control the blower speed. Attached is the wiring diagram for the blower in your vehicle. To test it easily you can use a simple test light. First find the blower speed control mounted next to the blower motor under the dash on the passenger side. You can unplug the wiring plug from the box, then take a test light and verify that you have battery power on the pin with the red wire. Then connect the test light to battery power and check for ground on the black wire. From your description it sounds like they both work, but the ground could be starting to fail as you say the module sometimes works when you turn off the lights however, I think it may only be the voltage spike from turning off the lights that triggers the module. So, the easiest method is probably to get another module and test using it.

The control you are referring to is the same part. Many places call it a resistor even though it isn't one.

Okay, if it is jumping that way, I would check the connection from the control head. The hard thing is that there isn't much of a way to test the system without a higher end scan tool that can talk to the HVAC module to do the tests. It sounds like it could be a loose connector. Hmm try this, not sure it will work but, turn the blower motor to a speed and give the dash a couple smacks to see if the impacts cause the speed to change or drop. Then start looking at the connectors. Bad solder joints in components are common but usually it's in the module you swapped as it carries higher currents.