Let me try and help clarify. Part of the confusion is the answer is not as clean to the end user as you may want.. And it takes a small bit of web work (creating URL links on your home page)
Background...
Every iscore device has access to a free admin site and a free iscorecast site. Both are tied to the device Id.
Your <device Id> and password Can be found under "options>admin website" on your device (as you know).
The iscorecast menu of all games you have synched on a device can be found at URL ,
http://data.iscorecentral.com/iscorecast/player.html?c=" onclick="window.open(this.href);return false;<deviceid>
where <deviceid> is your specific unique device id
Note: this is a link to menu of all the iscorecasts available for that unigue device..it is not a link to a specific game or specific team but the device.. If you score for multiple teams, multiple games and iscorecast synch them ..they show up on the list.. ( no team web site subscription required, this is a free functionality to all iscore devices)
Workaround
So on the web site you have people go to
http://www.yourteam.com" onclick="window.open(this.href);return false;
create three links on the front page for them to choose from to access the menu of games for each device
Click here for games scored by adam (device 1)
http://data.iscorecentral.com/iscorecast/player.html?c=" onclick="window.open(this.href);return false;<device1id>
click here for games scored by bob (device 2)
http://data.iscorecentral.com/iscorecast/player.html?c=" onclick="window.open(this.href);return false;<device2id>
Click here for games scored by Charlie (device 3)
http://data.iscorecentral.com/iscorecast/player.html?c=" onclick="window.open(this.href);return false;<device3id>
So as I said to begin, it works but not super elegant..
P.S.
If you have team web site subscriptions for each device, you get the ability to create game specific iscorecast URLs and then can use those for links in your web page, but since that is not your situation I will no go into that further here..