I feel like this would have been more interesting if he reincarnated into a weak person with his former memories. Then on top of it all he finds something he wants to protect and you seem him struggle through it all.
I wish the manga didnt rush through scenes. Beruff messed with the Koreans for a lot longer than this makes it seems and he only found the healer after torturing the tank over and over then by following the constant flow of mana from the healer.
I get that Yukino is irritated because she hates superficial relationships and such but it was just a ploy by Hachiman and Hina not only went right along with it but from her expression id say she knew what Hachiman was really up to. So im not sure why everyone was so upset.
I honestly don't understand why he is even taking the exams. He's the demon lord and it's his castle. all he has to do is march right in, sit on the throne and kill anyone who complains till everyone submits to him. that's the kind of guy he is as was shown in his fight with the brothers.