When Eve runs down a short flight of stairs, she has on white sneakers. Immediately before and after, she is wearing black ankle strap stilettos.
When Lucifer tells the demons to return home, it cuts to a shot of The Detective. Behind her you can see the bodies fall as the demons leave. It returns to another shot of Lucifer and then back to The Detective where you see the same bodies fall again.
In one closeup, the buckle strap on Eve's right heel is fully closed. In the next, she leaves the shoe behind with the strap loose and completely unbuckled. Eve was somehow able to undo it while remaining standing and with both arms full.
Lucifer presents Linda with Sigmund Freud's "personal journal", where the two pages shown are written in a mix of English and gobbledygook. Although Freud could converse, read, and write in eight languages, he wrote chiefly in German. For a personal journal, he most likely would also have written in German.