@Naveese: You are a bit behind the times - we haven't used the strikes system for nearly a year now. It was replaced with a informal/formal warning system that we can apply instead. We can still instaban for more serious rule violations.
Chat works differently from the forums - in chat any staff has the capability to kick for minor offenses - a kick is NOT a ban and you can get back onto chat - but you do have to go back through the page with the rules to get back on chat (hint). But jumping right back and disagreeing with the staff member who kicked you WILL get a ban - it says so right in the rule you quoted.
Unlike many sites that keep bans and the reasons for them secret - bans and formal warnings are posted along with why. The informal warning and chat kicks are not posted as they are considered minor, but are still available to the staff. And, again unlike many sites we do have an appeal process to allow you ONE appeal on a ban. The most common reason for rejecting an appeal is creating a new account to bypass the ban.
If you think a staff member has abused a rule - then you can contact the site owner - Dark0ne with your complaint.