I have read that ps1 mini is using the pcsx-rearmed emulator.
This emulator had the issue with this game you describe but it get fixed see: https://github.com/libretro/pcsx_rearmed/issues/560. Maybe the version that the system is using is older. I don't know if you can the update the emulator

You can try to change the Dynamic recompiler to interpreter (slower), if you have this option.

@mitu That's more a typo than a full-on spelling error, though.

The keyboard fix and the four controller fix have been merged upstream by the Retroarch folks!