This is Yuri Nakamura, leader of this faction. She says her enemies are angels, but at first blush the person she's aiming at looks like a normal girl.
Our boy thinks she might not be a good guy.
He rebuffs the recruitment and tries with the alleged angel.
Otonashi is mostly buying time. Amnesia is common among new arrivals, but memories return eventually. He'll wait until he remembers who he is before he really decides to stay with this group.
They prepare their next mission: to steal cafeteria lunch tickets.
The plan goes like this: the distraction squad will put on a rock concert, then, at the height of the concert, they'll activate a giant fan, blowing all the lunch tickets in the cafeteria out where they can grab them.
Too bad she's invincible. When she comes up against him, she can parry his bullets. When the others back him up, she activates a shield that deflects them.
They buy enough time for the operation, but deal basically no damage to Angel.
Ever hear the phrase <better the devil you know>? Naoi, the vice-president of the student council is now acting president, and he's even tougher than Tachibana. Plus he's an NPC, so they really shouldn't go after him.
Otonashi reaches out to Tachibana, but Naoi imprisons them.
Tachibana had developed a skill to clone herself, but had failed to put any limit on the clones. She activated it in battle, and the clone of her was made with the will to fight. Then the clone made more clones.
Yuri hacks Tachibana's computer to change the skill to reabsorb.
He was my injured internally in the crash, and though he organized all the survivors and bandaged their wounds, he did not survive until the rescuers arrived.
The last thing he did was fill out his organ donor card. He couldn't become a Doctor, but he at least saved one life.
(I elided Yuri's horror story, which was told earlier.
Invading robber/murderers killed her younger siblings in front of her to incentivise her to reveal her parents' valuables. She didn't know where they were. The authorities arrived only after her siblings were all dead.)
But really, what Yui wants is to feel like she's not a burden. Like someone wants to be with her, instead of being stuck with her. Someone to love her and marry her.
Hinata steps in, weaving a tale of how they could have met and fallen in love while alive.
Yuri has basically never been fooled. She calls out Otonashi to explain his theory to the rest of Battlefront, then lets everyone make their own decision.
Meanwhile, she investigates. Whoever is controlling the shadow monsters has reprogrammed the NPCs.
Naoi has joined the team. Yuri provides him with his first assignment: use his hypnosis to help Otonashi regain his memories.
Otonashi is worried that regaining his memories will affect his relationship with the Battlefront, who he realizes he's come to like quite a bit.