(*1) "Take it Yukkuri" = "Take it Slow"

(*2) Sorry! Yuukuri is a wrong spelling. Yukkuri is right.
"Yukkuri Shite-itte-ne" = "Please stay as long as you can"

(*3) Please modify Nico Nico Douga to You Tube in your brain.

(*4) Kacha-Kacha. A onomatopoeia in case of playing a keyboard or toys

(*5) Gera-Gera-Gera. A onomatopoeia in case of
guffawing, generally. But in this case, that's used as simpering.

(*6) www. it means lol. Generally, it's used independently or by following a sentence. When "www" follow a sentence (a few words, one word), we don't insert a space between a last word and www.

(*7) Hellow-Work = Job placement office in Japan

(*8) Teruyo. Her real name is Kaguya. We generally don't read "輝夜" as Kaguya. Teruyo is wrong, but we use Teruyo as her nickname.

(*9)
Light green : When Himesama (the princess) doesn't stay, it's np future in Gensoukyou (utopia). (* np=no. The original sentence is wrong on purpose because of expressing mistyping. So i wrote similarly)

Light sky blue : i take for granted that Himesama is strong.

White : When Himesama quits chat, i quit too.

Cream : i thoght Himesama is most strongest (A real topic).

Pink : Both in name and reality, Himesama is the unoqie 6 boss. (* unoqie= unique)

Background
i can read only three sentences.

Kaguya-sama is wonderful. i hanker for her.
As I thought, the princess of the moon is in a different class.
Himesama comes ! (less info)