You're mixing up a few facts Buff.
1. Biker dude wasn't just cruising around for fun only to get kicked in the face unsportsmanlike. Haruyuki challenged him to a match the second he and Kuroyuki stepped out out the school gates. This was to ensure that no one else would think he is easy pickings for points based on how badly he lost the first time, and to make sure he got his rematch. They were in a match already. Biker dude just cruises around as his method of movement. Haruyuki hid and waited to ambush him while Biker dude casually cruised around looking for him.
2. Black Lotus didn't get to level 10 from killing the red king because you need to kill five level 9s.
3. She can wreck all the shit she wants, but it doesn't appear to impact anyone's life bar. I'm willing to let any inconsistencies in that scene go, because it was pretty obvious they were ignoring certain rules to make it look super cool.
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I smiled when she said her battle form doesn't even have any hands to hold. Kuroyuki's so cute when she's in love mode. She's a big fan of petting too. She rubs and squeezes his piggy form, and she gently strokes his wings.
Taku was a total douche in the first half of this episode. Insecurity indeed. As much as I would have liked to see Haruyuki smash him totally, then tell him to live proudly in the real world instead of cheating, that would have come off callous and hypocritical, especially for Haru. I'm glad that he forced him to concede without making him lose (pretty convenient that Haru's super punch gave them both exactly the same remaining HP...) but if the library scene is any indication, it's not quite over between the two of them, that part isn't resolved yet.
I'm with animus. Cliffhanger on a name? Lame.