Alright, I'll go about this as nicely as I can...
Regarding your appeal situation, we don't all live online, it just doesn't work out that way. Yes, we try very hard to remain as professional as possible when it comes to working these things out as quickly as possible so you can wait a few more days. If you can't, well then you my friend may have an addiction problem which I would love to direct you to the internet addiction hotline 1-888-366-2335.
As for the ban itself, let me slow things down for you so you might understand it better. I've seen you before on the server a handful of times and have seen a few suspicious things that have raised red flags for me in the past. However, you were never in game long enough for me to investigate, no big deal. I saw you in server on the day of said ban and again, I just saw little things here and there that didn't add up so I went in spectator mode and watched you in first person mode. What that means, is what was on your screen was also on my screen and I could see exactly what you saw and aimed at.
A moderator was asked to hide in a normally illegal spot (texture glitch) because of my suspicions of you. You passed by them once and looked exactly at the location, came back and passed by again going the other direction and looked at the exact location again. You seem confused as you then came a third time and this time stared, kept your reticle, on their exact location before you walked away. This screamed something was amiss, and you would have been banned by anybody with the power after seeing this.
Unfortunately the incident wasn't recorded or you would have been uncautiously punished with very specific reason and purpose.
Yes, you were banned by me and you were at the mercy of my cursor and whatever random number of weeks it just happened to land on. BUT....I am a merciful god and will make sure your ban is reduced, however, if you are CAUGHT again then your ban will be longer and/or permanent.
TL;DR: Don't act like a spoiled child when you are caught doing something wrong and throw a tantrum when you don't get what you want right away.