Thank you for feedback!
I'mma try to give my thoughts on what I think about it.
First of all, I made sure that you can't lose on day 2. If the warrior gets the bow as his first extra move, buying essentially anything should suffice. In case of the warrior getting a power slice, the game guarantees a bat in early days to make sure that you don't lose on day 2 to rng. So, unless you try to, losing day 2 is technically impossible.
As for randomness factor, that is true, a lot of the game is random. However, the warrior always gets moves from the same pool at different points of the game. He will always get either a bow or a super smash at first, then get 2 out of 3 moves from a different pool, etc. You can see the moves that warrior has already unlocked. You're right, that more knowledge on how Warrior unlocks new moves would improve the experience, though.
The way Warrior attacks isn't random, though, but instead tries to play semi-optimally (that is, find the first possible sequence of moves that leads to victory).
As for monster receiving, it has quite some random element to it too, but it does have a few nuances to attempt to make it somewhat fair. As I already mentioned, early days always give a bat as an option to prevent early game softlocks. Furthermore, it will always try to give you a new monster, unless you already have 1 of each. And it will stop giving a certain monster type, if you already have 3 of it. Again, more knowledge on how it works would be perfect...
Overall, I don't deny, that the game has balancing issues, and it might be much more difficult that it should have. But I'm not sure, if I would call it unfair by any means.
I'm glad that you've had fun with the game, although am sorry for not providing the experience that wouldn't feel unfair