In Inkscape open the svg, and then open the XML Editor..
The rect3397 has to be in a group called silkscreen. In PCB view all holes and contacts are in copper, like you have, and all outlines and text go in silkscreen.
Top of the editor select New Element node, type in svg:g, OK.
Click on that new group node, and then click on the id in the right pane.
At the bottom of that pane is another box, change the id to silkscreen and press Set, just above it.
Use the arrow keys to move the silkscreen above the rect3397.
Select rect3397 and press the Indent button, top toolbar,
Now select the silkscreen again and move it above the copper groups.
In PCB view all holes and contacts are in copper, like you have, and all outlines and text go in silkscreen.
I don't know what that .fz file is so you will probably have to get rid of it before importing into FZ