I played this game on stream: https://www.twitch.tv/videos/2877899597?t=00h02m56s
I liked the complexity of the game! Crafting potions, food, and then combining them into soup was really cool. The battles with the monsters were surprisingly easy, compared to the tutorial battle with Professor Harrison. I had quite a bit of trouble figuring out how to slow him down. I believe you mentioned that after 3 rounds more hints would be given; perhaps consider making those hints appear earlier. I was getting somewhat frustrated before then :)
I really liked the summoned rat (and probably other summons too) leveling up and gaining more skills. The human characters themselves didn't appear to gain exp and level up, and perhaps that's by design. I like the twist!
As a suggestion, perhaps have a way to customize the protagonist, such as a male/female option. I was a little sad I couldn't play a female protagonist in the game :)
Overall, great complexity in this RPG!