Act 10: Protect It! The Illusionary Silver Crystal　(わらわが闇の女王クイン・ベリル　/ Warawa ga Yami no Joou Kuin・Beriru)

3:09 Pattern

Though Shingo is implying this is repeated behaviour on this part, the way this 
line is phrased sounds like a elbow nudge to the audience that this episode is 
using the typical "running away" pattern used in anime, manga and drama 
formula. Not exactly fourth wall breaking but on some level self-awareness 
on the show's part. Patterns are similar to cliches in English but do not
necessarily hold the same kind of negative connotation.

7:23 Princess Kaguya

Usagi essentially lays out the relevant story points but it should be notice that
Sailor Moon does take some inspiration from the Japanese story "The Tale of
the Bamboo Cutter" which Princess Kaguya appears. References are also heavily
used in the Legend of Kaguya Island Musicals, the manga side-story "The Lover
of Princess Kaguya" and the Sailor Moon S Movie which is based on the 
side-story.

10:16 Title of book reads

New-Kodansha Picture Book: Princess Kaguya. Kodansha is a publishing
company, the one that printed the Sailor Moon manga.

11:30 Bunny that pounds rice cakes

Similar to the idea of the Man on the Moon in the West, many cultures in the 
East see a rabbit with a mortar and pestle pounding rice to make rice cakes.
Mochi in Japanese. This part of folklore is the basis of Usagi's name. Tsukino
Usagi is a pun on Tsuki-no-Usagi (Rabbit of the Moon). 

22:31 Sign reads...

New Tokyo International Airport, better known as Narita International Airport.