Uh that's her crush touching her. Sure if it was any other guy she might've responded a bit more negatively but she clearly doesn't mind the contact and is just embarrassed. If her obvious blushing wasn't a dead give away.
there's def pta/nosy gossiping housewives vibes, tho they aren't rly wrong about chii-chan's parents/having a bad home life, you'd think cps would do something but this author doesn't rly do 'normal' stories so i imagine it'll escalate to an extreme amount, cops or not
He definitely seems a little manipulative. With a side dash of hero complex. And what's up with the line about everyone being happy when Chii chan goes to school?