Thank you very much. If you want to learn how I did the character customizer, I made a tutorial about it https://firetotemgames.itch.io/superhero-academy/devlog/98803/2d-character-customizer-tutorial-unity.
Back to your feedback. Don't ask me why I made the 4 characters minimum restriction for the name. I already had somebody else giving me bad feedback because he couldn't give his character a 3 character name... What some people don't get is the joke that the first name is always not available. The game is lying here and your name is never ever used anyhow :D
I assume that the jump latency is caused by the webbrowser, because I have not implemented any delay. I have implemented some delay for the attacks, or I would call it build-up. That was a dumb idea and I would remove it :D
Ok, I have never seen the two bugs you have encountered. I know that the web version has some weird bugs, the windows version does not have. So, if you want to give the game another try, play the windows version. :D