About the kids screaming for admins (I am one of the Admins), I've begun letting them know that if I'm busy and their problem isn't omgomgomg*sobsob*theypaintedmymotherblue important that I'll mute them for wasting my time.
We're like the police of the server, you'd get a ticket for wasting police resources, you get punished for wasting our time (or at least mine).
Caps gets you nowhere, neither does language. I regularly mute and kick players for both of those.
I've taken a very hard hammer to griefers recently as well. It's sad because we have players that are friends with the griefers, and now no longer have a friend to play with.
The worst part is lying to an admin. If your house was griefed 4 days ago, don't tell me it was 30 minutes ago. We have our ways to find out and you're not being clever. Also, don't get mad at the admin when our tools bring up nothing. The only reason griefers don't get reprimanded is because you waited too long to tell us (the tools rely on history, and it's usually only about 3 days worth). I also don't reprimand players when they were technically doing no wrong. For example: putting a chest in a cave and calling it your home and not locking the chest or actually *gasp* making a full fledged home out of it. Don't complain when someone comes along and takes all of your mining spoils, that was YOUR fault.
Everyone here should play with a good sense of reasoning. And everyone needs to read the rules. The latter is the biggest problem and is the cause of every single one of the negative's you reviewed.