Medical instrument in 32:10 is actually salt grinder from eBay.
Three wears pants with an red strip on the outer seam that is reminiscent of Han Solo's Corellian Blood Strip. Most likely an homage as Han Solo and Three are similar, characteristically.
A sign in the space station says, "Kepler-61b," the designation of a super-Earth exoplanet in the habitable zone of an orange star about 1,000 light years from Earth.