Aah, ok. The reason why they won't fill is because they paths aren't connected. See
gc1.png
(176.34 kB . 1090x535)
(viewed 151 times)So you need to select those paths with the Node tool (hold shift and click each path, or drag a selection box around all with Selection tool, and then switch to the Node tool). Then with the Node tool drag a tiny selection box around the 2 overlapping end nodes, and click Join Selected Nodes button on the control bar (the first bar above the horizontal ruler) (or else use the key shortcut). Then repeat for all the end nodes.
After all the paths are connected, you'll be able to use a traditional fill (rather then Paint Bucket tool). Just click any color chip on the palette, or use Object menu > Fill and Stroke > Fill tab, to configure a custom color. Or you could use the Dropper tool to choose the color from the raster image.
Or....looking closely, it looks like you might want to use a gradient to fill them. I'm not sure if you want it exactly like the raster image, or just close.
You'll need to draw some new paths for the shadow colors. Using the Pen tool, it's quite easy. See my quick video
Yes, as I look closely, zoomed in, it does look like you could use some gradients, if you want it to be exactly like the raster image.
Well, you'll need to draw some new paths no matter what. But you could use some of the existing paths, and duplicate them, to create objects for the darker areas, rather than draw them all new, as I showed. Duplicate them before you connect them together