Your machine name seems a bit strange, I wouldn't expect to see slashes in it. Start a command prompt on the PC and run 'hostname' and it will give you its name.
That's a qualified account name not a machine name. The part before the backslash is the machine or domain where the account is kept and after the backslash is the account name. In unix speak that would be like kieran@kieran-pc.
http://cord.sourceforge.net/ does some things better than the Microsoft client and is an alternative, but the Microsoft RDC is good too.
And for anyone who doesn't already know, remote desktop is not supported on Windows Home versions, only Professional or Ultimate. On Home Premium, you will need VNC or some other third-party software.
In general, once it has been enabled, anyone with administrative rights, also automatically has remote login rights, but you can give remote rights to non-admins as well.
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