I think the text button is something along the lines of "Agree to the terms and conditions", but I'm not sure why there would be a history of who did that or why Kasumi is so surprised by it.

The image is related to this upcoming app:

• Japanese sexual consent app "Kiroku"
• https://prtimes.jp/main/html/rd/p/000000001.000126970.html
• https://www.tiktok.com/@user8363948553691/video/7268142804730137858

EDIT:
The official site is here. dead link
The current official site: https://kiroku-6.com/