The dialog between Ash and his father: "I'm better, stronger..." "Faster?" is a reference to the opening of The Six Million Dollar Man, where Lee Majors (who plays Brock Williams) played the title role.
The photos of Ash as a child are actual photographs of Bruce Campbell when he was a child. Some of these photos can be found on Bruce's official Twitter and his 2002 autobiography "If Chins Could Kill: Confessions of A B-Movie Actor".
When Pablo first attempts to make a sketch of Ruby, he has no control of his hand and draws the face of the Necronomicon, like what happens to Cheryl in the original Evil Dead (1981).
Ash hits his head on a pipe in the crematorium and black ash hits his face. In the extended windmill scene in Army of Darkness (1992), Ash hits his head on a pipe and black ash sprays on his face in the exact same way.
When Ash shows his father Pablo's sketch of Ruby, Brock replies with "You're looking for Bigfoot?". Another Lee Majors character, Steve Austin, encountered Bigfoot on five different episodes of The Six Million Dollar Man.