Calink did a pretty good job explaining the reasons why you were banned, you cannot claim a character has PTSD just to get into shootouts with officers. While there are other ways to incorporate PTSD into a character, using it as an excuse just to engage in shootouts with cops is not allowed but also not a valid form of RP.
While reviewing I've noticed that for a couple hours you followed a pattern, engaging cops, dying, rinsing and repeating. Until ultimately you got banned for RDM, you claiming that your character has PTSD may be trying to find a loophole in the rules. If you were to read the first and last sentence of the server rules; Loopholes are not allowed.
"Do not attempt to loophole or bypass the spirit of the rules. Inventing reasons or false scenarios in attempt to make yourself immune to the killing/baiting/mugging/any rules is not permitted."
It does not matter that a form of RP will have a certain amount of people enjoying it, if it breaks the rules it is not allowed. If we were to allow you to continue this kind of RP, it could encourage behavior we do not want on the server. This would cause many people to follow in your steps and start claiming that their characters have PTSD as well just to avoid proper consequences.
At the end of the day staff has final say, we do encourage people to make appeals if they feel that their ban was not justified but in this case it was.