Here is a better (but still not perfect) part. I replaced schematic svg with the original from my relay and modified it to match what you appear to want (only the no terminals and common). I added terminal rectangles to the bb svg (the groups won't serve as terminals it needs an entity on the board. In pcb I moved the silkscreen so it wasn't overlapping the copper (I don't think it is correct, but I don't normally make sm parts, perhaps one of the other folks that do will comment). In all three svgs and the fpz file I corrected the pin numbering to match the svgs. Last but not least I removed all the pxs that Inkscape sprinkles through the svg files as they break Fritzing eventually (after editing the part a time or 2 the font size gets reset to 0). Replaced the path text with standard fonts in bb and schematic on the way by. I'll have a poke at the power supply board for a bit and see what I can do there as well.
Relay Test_fixed.fzpz (9.1 KB)
(edit: and the ps module built from a generic 4 pin IC base with your breadboard image copied in a slightly modified generic schematic and your pcb with connectors corrected to match the fpz file. )
ps.fzpz (6.7 KB)
Peter