The svg you posted has no layerId (which will cause the part to not export as an image) and no connectors. You can add them via parts editor, but most people won’t know how to do that. This tutorial will give you instructions on how to make parts. but is complex (as is making parts.) That appears to have been done (how correctly is unclear without the part to run through FritzingCheckPart.py.) It would be better to post the .fzpz file of the part used in this sketch as it should be more correct (and thus more use) than the svg. If you upload the .fzpz file for the part used in the sketch I can run it through FritzingCheckPart.py and tell you how to fix any complaints.
edit
upload is 7th icon from the left in the reply menu and will accept .fzz (sketch), .fzpz (part) and .svg files (among other less common ones.)
You may have already seen these as they get posted a lot, both apply to current Fritzing versions where many of the others are for older software versions (both these are 5 or more years old now though.)
I lately learned there aren’t links to the videos in Old_Grey’s tutorial so you need to do a google search for the title and then they come up on YouTube.
Peter