Okay. We have agreed that Paradox was in the right in this situation. Your fellow mercenaries even told you not to murder the research director. You then intentionally murdered them. This would be fine had you given them any sort of roleplay OR if they had given you any reason to murder them, but that's not what happened. You killed them in a firefight for no actual reason. They did not pose a danger as they were very obviously unarmed and you had many other choices according to your gimmick - as an example, it was possible to injure and then capture. Or just capture, as you had all the tools to do that.
Paradox's reasoning stands solid. I urge you to appeal whenever you feel like you want to start playing again, but I would give it a month to be sure.