I'm in a big hurry....but some quick icon comments...

1) mostly icons should be 64 by 64 pixels in size, in Inkscape it under "file" menu..."document properties"
2) if you want to use something from another icon, copy paste the item...e.g. the cylinder..copy paste from Part Cylinder.
3) you have the lighting coming from the wrong (inconsistent) direction on your cylinder, for most icons light comes from the top left.
4) this slicer cuts horizontal slices from an STL file, (at least internally) doesn't it? If so I would suggest you use a Mesh Cylinder icon for the cylinder and then something to show it being sliced....perhaps just do something similar to Part_Cross_sections?
I'll post something in a few hours, if you want me to?

Jim