My Harbour Breeze wall remote includes a light button. The remote worked well for a month. Now the fan works only one speed and light does not turn on? I also have a hand remote that does not function as well.

From the below link:

II. Fan light is not working

If the fan is working but the light is not, the problem is usually a loose connection between the power source and the light kit. Make sure the red/blue/black & white striped wire is connected inside the canopy to the power source, and inside the switch housing to the light kit's black wire. The light kit's white wire should be connected to the white wire(s) inside the switch housing.

This from Ceiling Fans 'N More - ceiling fan troubleshooting. What to do if ceiling fan light is not working