How would a celestial map for Callisto depict the paths of Jupiter, the Sun, etc.?
I'm not sure this answers your question, but I used Stellarium (free) to generate this image from Callisto's north pole (so its celestial north pole, in Draco, is overhead) with orbit trails turned on:



Unfortunately, the image is not only messy, but may be inaccurate, since Stellarium doesn't do a great job of plotting orbits long-term: Stellarium 0.10.4: planet orbits change over time?

So, I wrote https://github.com/barrycarter/bcapps/blob/master/ASTRO/STELLARIUM/callisto.ssc to create a video of the view from Callisto's north pole, but the results are fairly uninteresting: https://youtu.be/O2GHJM54uhQ and come with several caveats:


I assumed that Stellarium is accurate, not just in where it displays the planet, but also in how it determines Callisto's rotational orientation, and any other details required to depict Callisto's celestial northern hemisphere.
The video is in "starchart mode", which means the stars don't move. In reality, the stars would make a complete rotation about every 16.69 days. More specifically, in the video, Jupiter moves through the constellations. In reality, Jupiter would remain fixed (Callisto is tidally locked), and the constellations would move.
The one year (+ about 2 months) period I chose is not "representative" and does not repeat. There may be quite a few more interesting things happening after the period the video represents. In particular, note that the Sun takes about 12 years (Jupiter's orbital period) to travel Callisto's ecliptic, and only a fraction of that travel is show in the video.