I'm so sorry about your experience with the game ;-; The bombs automatically goes off when you are hit by a bullet so it replaces all your bombs before costing the actual life. I'd recommend using the bombs(u can literally spam it on the 1st life and then suicide to clear all current bullet on screen XD) since the bombs refill when you die.
As for the puzzle thing. I won't lie I should have listened to some of the feedback from my friends >.> (during the production) I did heed their advice for the horoscope part, but not the hachiko part because.... ;-; because I figured key's puzzle was optional and I wanted people to know about the loyal doggo. So I do apologize for forcing player to google it (and the hint wasn't good enough) That library suggestion is good, I'm so sad I didn't thought about it!
Also thanks for the feedback on the bullet hell! I'll maybe make it optional adjust it/buff the player more after the post jam update, or maybe nerfs some of the stages. I am surprised the main game(reverse murder mystery) was so well received than the bullet hell that it felt like the bullet hell dragged it down XD Anyway, I do hope you give it another chance(or maybe after the post jam update) and have fun with it :3