I will try to supply you with requested information, if there remain any questions feel free to contact me ingame (rodyc.1574) or on TS (Alwies @ ts.farshiverpeaks.com).
Short about me (so you know where the information comes from).
I am an TS server admin, website admin and host the FSP reset meetings. Besides that i am a dF member.
In this post i consider prime time from 19:30 till about 23:00
WvW Queue Times at EU prime time.
EB during prime time pretty much has always a Queue varying from 10 to 60 players depending on commander and possible other events.
During prime time 2 out of 3 border usually have a short queue (1 to 25). Queue's on some border can go up to 40 if to many guilds try to join the same (this is usually avoided).
Public Commander Tags and ability of said Commanders during zerg fights. (Frequency of Public Tagging)
EB during prime time pretty much always has an commander. Some guilds tag up and sometimes there's an public commander (usually on home border). Normally we have commanders online till quite late/early.
Fights Vs PPT as server where do you stand?
Depends who you ask, we have both PPT guilds and guilds that mainly play for fights. As a server we accept both.
Guilds and guild co-operation. (recruitment, adding to fights, friendliness to others etc)
Most guilds (PPT guilds and guilds that play for fights) work well together. Fights are generally respected and adding to guilds fights is rare.
I am carefull with saying "most" and "generally" because i am not going to claim we never have issues and people disagreeing.
sPvP activity (Community PvP groups/events)
Not many, i know some guilds organize PvP events but this is mostly done internal. An attempt to a 10v10 tournament was made 2 weeks ago but so far nothing has come of it.
Server ranking and where your community wants to be (Gold/Silver up/down) - also where you predict to be.
This is something we as a server agree upon and have had no issues with. We want to be about top silver and we do not want to be in gold league.
Roamers and size of Roamer groups.
We have some roaming groups and individuals but to be honest i am not sure if the're many or few compared to other servers.
Public TS and usage.
My area of expertise, our public teamspeak is used very actively, both for public raids and guilds groups.
For public raids the (by far) bigger part is actively listening/talking on TS.
Every guilds (size doesn't matter) can request an guild channel and has full access to do with them as they want.
Our TS doesn't have a password so feel free to look around (TS.farshiverpeaks.com) we do have an verified member group that's required to join public channels.
Please ask more questions if you have them.