Not full translation, just summary as before but:
5: We get to meet Rui's 'modern' gang, turns out he has a team that makes fan-made VR games for profit, runs 'men's esthetictian' salon (a trendy kind of prostitution kinda like 'massage parlors' or a personal spa with sex involved), pachinko parlor, apparel brand and a club. They all badger him into saying he's on their side and then Rui reveals that apparently Rin's Kokuou branch is breaking the family rules by dealing shabu/meth and that's where their high profits come from. He asks Shiota to infiltrate Kokuou and find proof.
6: Rin's subordinate says they convinced another gang in the family to back them, so they'd have 60% support. They also have a guest, Shiota. Shiota tries to strike a conversation and asks about the sword Rin's polishing. Rin is proud of it but says Rui has identical one and uses it as a hanger. Shiota asks what Kokuou does and Rin lists all the classic yakuza stuff like 'protection fees', money loaning and laundering etc. Shiota doesn't know how to aproach him to get the proof he needs, but wants to try because if Rin turned out to be dealing with drugs, he'd get kicked out of the gang and save him from making the hard choice. Then subordinates bring in a member that tried not only to get out of the Rin's gang but join Rui's instead. Rin decapitates him for breaking the 'ideals'. He then asks whish side Shiota is on and Shiota's forced to say Rui's. Then Rin tells Shiota that Rui's gang deals shabu/meth and asks him to find the proof, basically making him a double spy.