1. You'd think identical twins would be used enough to being mistaken for one another ( specially about the arcade one of them knows the other goes to) to be that confused about random accusations.
2. "Takayashi is just a name we heard by accident"? What kind of contrived bs is that? Who refers to by name to a stranger you only saw once and whose name you heard "by chance"?
Awful writing, even for a harem manga.