When Amenadiel startles Dr. Linda Martin in her office, she is looking at Lucifer's file. The file tab is labeled "Morningstar, L. 015666": Season 1, episode 5 and 666 - the number of the beast.
This episode includes the first time Mazikeen's true face is shown.
The coffee shop is called Beelzebean, a play on the name Beelzebub, and the logo is of stylized fiery steam.
A sign on the counter display at Beelzebean reads "Black as the Devil/ Hot as Hell/ Pure as an Angel/ Sweet as Love," an English translation of "Noir comme le diable, chaud comme l'enfer, pur comme un ange, doux comme l'amour," a quote about coffee preference commonly attributed to 18th-century French diplomat Charles-Maurice de Talleyrand-Périgord. Here it appears to be serving as the café's slogan.
A brief shot of Benny's shoe collection shows that in addition to the red ones with red devil horns along the heel featured at the beginning, there is a black pair with black bat/dragon/devil wings.