I understand what you're asking, but unfortunately, I still cannot help you with any of that.
Most Discord moderators do not accept direct messages from users who are not in the same server, so even if you had their usernames, you likely wouldn’t be able to contact them.
Additionally, I cannot provide or share contact information for moderators without their consent, and it would be inappropriate for me to interfere with Discord moderation from here.
If you are unable to access the server, then there is unfortunately no alternative method I can offer from the Itch.io side.
The easiest solution for you is to create a new Discord Account instead of appealing for unbanning.
If you wanna contact the moderator team, please provide me with your Discord ID, and I'll inform the moderators.