A very good recreation of the GBC Zeldas!
I do wish enemies dropped health, I ended up fighting the King with only a quarter heart left and he bugged out a bit. The dialog box stayed on screen for a while after the king started attacking, and so I died. But I also respawned in the same room which I'm not sure was intentional.
Also you have the hitbox of the two brothers having a conversation too tall, I tried to go into Rune's house and triggered conversations with both of them.