Translated by IDe from the AL reddit. He posted a hard translation here: https://imgur.com/a/lDYrl I just took it and added the notes here. All credits to him.
Captain-sama...
would you like to try...
a soft landing?I shall be taking up duty as your secretary ship today.I didn't mean it like thaaat.However...Would you mind picking up my handkerchief?When I lean over, my balance tends to...The aircraft carrier HMS Illustrious......is at a glance a reserved young lady.But I wonder, Captain-sama... would you like that?I'm sorry, but Captain-sama's reactions were so cute I just couldn't help myself. ♪By the way, Captain-samaaa...Despite how I look, I actually quite like night battles, you know?I'll be in your care.
*Bow*
*Jiggly!*
Ohhhh...
Oh youuu ❤
Illustrious-san...
Could you please refrain from teasing me constantly?
*OGLE!*
Tee-hee❤
A fine day to you, Captain-sama.
She says "gokigenyou", which is a tell for a "ojou"/rich girl stereotype, along with very formal/refined language.