this series not having any text hurts it sometimes whenever it tries to explain something

Most likely: Parsee points out another festival coming up, but Kogasa explains they'll need to get permission from Byakuren again.

Yup, some messages are hard to be told witout exact words.
I, for one, thought Kyouko and Kogasa would be 1 day late.

I got it immediately, but honestly unless your reading these back to back, then you wont remember some details.

Another party in two weeks' time, and this one goes on for three days. Honestly I'm surprised they don't throw another one immediately after.

Seems Parsee says not to worry, there's another event and it's bigger too. This excites everyone including kisume, who isn't on the agenda. Kogasa informs them about having to ask byakuren if it's okay to add 1 additional person.