Your activity is quite good, and I always have a fun time when Im in the server with you. You know how to moderate well, however your application certainly lacks detail. I would recommend fixing up the application and adding more effort to it.
For handling the appeal, you must be much more specific in what you would do and what would be required of that user to be unbanned. On top of that, you would need to explain how you would approach this user with how he must stick to the rules in the future.
I honestly think if you cleaned up your application a bit and weren't so vague, I believe you would be ready to be an administrator.
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