Hi Arnav! Thanks for playing, and thanks for the feedback. :)
Yes, coyote time would have been a good choice - I've implemented it in later games, but didn't have the know-how back when I made AHoT. The collision issues are 100% in my code (some PICO-8 games have amazing collision), and the unresponsiveness is likely due to the game being played in-browser. Thanks for the compliments on the music and SFX, I'm still quite proud of them! :)