Its very clear Tking is not allowed.
So my questions are this.
Admin can run there servers how they like?
Are they allowed to abuse verbally?
Are they allowed to TK?
And there will be an obvious responce when I know the answer to these questions.
if these questions are set for everyone to discuss, I'd say:
Admin can run there servers how they like?Yes in theory, but practically no. They pay for their servers so they rule, but they are running a game which has it's own TOS, so you can run your server how ever you like but you need to follow certain rules, also using common sense is allowed
Are they allowed to abuse verbally?No one should solve their personal grudge between others with admin powers, then again abusing admin powers shouldn't be allowed. This is internet so you can't completely cut trash talk off, but sometimes shit hits fan way too hard and you get huge mess. Some takes the lightest trash talk very personally and some doesn't care if it goes a bit dirtier, everyone has their own level what needs to be reached before they get fed up. We've seen everyone that some of the worst trash talkers can't see themselves when they go too far but it's funny how they are so butthurt after they get some trash back. Also it's markable that majority of the community doesn't care until the shit hits on themselves, they just watch aside while someone is being bullied hard.
Basically if you can't stand the heat - stay out of the kitchen, but then again it's not that simple. Every one of us are different kind of persons. I'd like to call again for common sense, but I think I'm asking too much...
Are they allowed to TK?No, teamkilling is forbidden and the same rule stands for all. Sometimes it happens by accident, sometimes it's intentional. That's why playeradmins exists so they can sort out who's teamkilling on purpose and those players can be banned. Playeradmins should be responsible and sensible players who knows what's allowed, what's not and what they need to do. If playeradmins starts abusing their rights and starts teamkilling at their server you should talk with server owner and show printscreens as evidence, maybe they rethink their roles in administrating the server. I haven't played many fps games but those I have are having their own rules for teamkilling and it always results you something.
Basically these what you're asking are handled by server administrator. They set rules how you're allowed to act at their server and if there's someone teamkilling, they make sure it results a ban at their server. When problem goes outside from private servers needs Assist Admins to take action, but as far it happens inside private servers it's really server owners job to handle it. Don't take it too literally, if there's massive teamkillers causing havoc at couple of servers then bring it up at forum so Admins can also have a look at it.