First off whats up with the name ? looks spamilicious.
Ok to answer your questions.. I'll try my best
A ping is the time in Milliseconds that it takes for ones computer to connect to another. The lower the ping the better. For instance I will usually ping around 300 on an austrailian server and usually 50-90 on a server thats near me.
A pure server I think I might have the right idea but im not sure. I believe it means only PURe clients so ones that havent been modded with aimbots etc. can connect to your server.
MaxRate anyone else wanna take a stab at that? I know though the setting does not need to be changed.
Zombie time is I beleieve the time in seconds or something like that a certain amount of time it takes to respawn from one spawn. Not entirely sure but keep that normal.
Dedicated servers theres many types of these. I will call them STOCK Dedicated which is the one you can run at the moment with no other addons required. Than theres TJW Dedicated servers, which run TJW's admin system, and theres balanced servers and also many others liek tremX. All the servers you play on that are up 24/7 are one of these types other than the stock dedicated servers.
If you set your server to dedicated it will close trem and open up a blue console. This is runnign your server dont close it. I beleive it is much better than using nondedicated probably less laggy.
Yes when you exot tremulous with a nondedicated server your server WILL shut down so your buddies will be unable to cotinue playing. I recommend if you have the time and the will, go to
http://trem.tjw.org and download the right files you need and follow the directions there to get a dedicated server set up with admin powers so that you can ban and kick people you dont want in if your having lets say a private game thats not passworded.
The STOCK server that comes with tremulous 1.1.0 does NOT have any admin powers at all, so if you try to kick someone you will have to use votekick, and most likely it will not work, it is quite buggy.
I hope ive helped you in some way if you have any frther questions you can post them here, search the forum, or post them here. I would recommend however a mod moves this topic to servers, and out of troubleshooting, since it has nothing do to with a problem about the game. [At leats i see it that way]