Act 31: Sailor Jupiter Awakened Her Guardian Powers! (ジュピターが戦士の力に目覚めた!　/ Jupitaa ga Senshi no Chikara ni Mezameta!)

2:31 Movie Tickets read:

Kame Fighter TURTLE FIGHTER - The Movie -
Possible a parody of the film "Crust" 
(known in Japan as Ebi Bokusaa - Shrimp Boxer)
...or possibly a reference to Kamen Rider (another tokusatsu programme)

2:31 Live-action over anime

The way Motoki has worded this in the Japanese makes it sound very much
like a jab at the Sailor Moon anime.

6:23 University Potatoes

Daigakuimo (literally, university potatoes), deep-fried, sugar coated
sweet potatoes. They are called these as they are very much associated with
university cultural festivals.

6:36 Souvenirs

Souveneirs "Omiyage" actually go quite beyond the definition of the word 
"souvenir" in English . Omiyage are a very important custom in Japan.
When going on a trip to anyway, there is a social obligation to bring back
something for family, friends and coworkers. Regional delicacies are usually
the best choice. Omiyage are expected whenever someone goes away, 
though many Japanese will excuse foreigners. For Japanese people,
however, omiyage can become a very expensive social obligation. Omiyage
are always beautifully wrapped, the packaging is just as important as the item.

6:41 Uirou and Hitsumabushi

As said previosuly, Usagi is not only expected omiyage, she's actually giving
a specific list and both of them are food. Uirou is a type of steam rice cake
made with sugar. Hitsumabushi is charcoal-cooked eel fillets on rice.
Judging on the specific items, she's request. Sounds like her Father is
going West to Nagoya.

7:24 Motoki's plate

It seems Motoki is getting ready for curry with the typical rice and pickles.
The pickles are fukujinzuke, which are vegetables pickled in soy sauce. 
By far the most common type of Japanese curry relish.

10:27 Background music:

Second movement in Bach's Orchestral Suite No. 3 in D major "Air on a G
String",