I'm having a similar issue with Illustrator (CS6). When I click on the side panel stroke and fill, I should get a pop up to select web only, and any colors I need, but it is not working. I keep clicking but nothing happens. It's really slowing my work down. Another pop up I noticed isn't working is in the layers panel. I should be able to click to get an options pop up to rename layers as needed, but this pop up isn't working either. I really need help to solve this... I have a Mac OS-X Snow Leopard.
Turn off Spotify (which is known for incompatibility with Fireworks), and check if you have Chrome running with the Google Play Music add-on.
If that does not resolve your issues, try turning off all other applications one by one.
Fireworks is no longer maintained, supported, or developed (since May 2013) by Adobe, and compatibility issues are bound to happen at this point.