The second page doesn't make sense. She says something related to "tsukiau", which can mean both "Go with" or "go out with" someone, hence the confusion.
If you've seen Infinite Stratos, you know very well what I'm talking about.
It's a bit tricky to translate the joke, but it can be done as "I want to go with you" => "she wants to go OUT with me?"
I'm sure you can think of something better if you put more time into it, but translating it as "date = going to the toilet together" isn't very good.