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After having taken him back to the place where they first met, Nagi asks Hayate if he remembered the place to which asks her if it was Kuk*rus Do*n's Island. This is a reference to Cucuruz Doan from the anime Mobile Suit Gundam.
Additionally, both Hayate and Nagi bring up Cucuruz Doan's Zaku in their conversation.
Afterwards, logos featuring "Asahi" and "UC" can be seen on two vending machines. This is a reference to the Asahi brand of soft drinks and UCC canned coffee.
Afterwards, Isumi shows her "Camera Obscura", to which Nagi and Hayate wonder if it was a camera that was used to seal vengeful spirits in some game. This is a reference to the camera used in the video game Fatal Frame.