I will answer your questions when I am not so tired, but basically you are not using Terminal Server for a better experience. You are using it so that you can have multiple remote connections.
While there have been changes both in name as in Remote Desktop Protocol to Remote Desktop Connection, the idea is still the same in that Windows provides terminal services to allow remote connections. In past versions of Windows these connections were made throug port 3389 unless changed. As an aside, port 3389 is always open (once opened) and is THE port for hackers to attack your system. With the advent of 2008 Servers, RDC connects via port 443 (HTTPS) and is therefore SSL and secure. But, basically, RDP connects to a remote computer.
This connection has always been one to one. RDP from a remote PC to a host PC. You could only have one connection at a time. With a TS, you can have multiple connections and many other network settings can be employed. Users can access applications and something knonwn as RemoteApps. Remote apps allow the remote user to remote in to a single app such as Word as if it were on his or her machine without even logging into the complete desktop.
More later....
