I'll just say this straight up here Kotovi.
The action you did is already louder than your excuse despite stating you were an admin on 3 different server and did not break any rules. Even if you are stressed out, not thinking straight, nor helping people, doesn't excuse you for exploiting. But let me straight up on the ban length. It is the shortest I ever seen for an exploit, most people (A few I know) got a ban for 1-5 months straight. So I would say just take this ban. It won't hurt you at all. Possibly during through the course of these 5 days, you can go to your work in school and then you can extend your time to not worry about it. It's a generous ban.
[i]"I've been asked, how our story ends. But how can it. How can we possible find resolution after so much has happened. The war is over, but the fires , burn on and in time, our voyage will become history and our action will become a legend. The chapters, that we have written are part of a greater act. As we depart our separate ways, we return to friends and to family. We would return home. The sun rises, welcoming us as a new day begins. But victory is not achieved without sacrifice. We leave behind wreathes of our journey. They were lost, so that we may prevail. Yet, even as we lose all else, we retain hope, that our sacrifice were for a purpose. And that others will live on to remember them. The stories continue is because... it is the combination of many. Every character gives and takes of them. It help shape and change it. The choices we make we ensure it's immortality. Our adventure maybe over, but our stories live on through everyone we shared with.