Cliffhanger from the last volume is nicely resolved in episode 6. Episode 7 is mostly a breather episode. It does give hints about why certain people (Kan'na and Chie) can't stand youkai.
Overall, I'm getting the feeling that this anime isn't that great as a stand-alone work. I feel like they're skipping over way too much important stuff while showing us too much useless stuff. I haven't even started reading the novels yet, so I can't say for sure, but I feel that the script for the anime isn't very well written.
First pressing comes with a CD-ROM, listed separately.
Reminiscence. This is the only capture from episode 6 because I didn't want to spoil it for people who haven't watched it.
Petoko showing her report card to everyone because she's so excited about receiving one. Remember, she never attended school before.