Will Live Mesh work when the remote computer's screen is locked?
Will I still be able to log into to the remote computer through Live Mesh?
Yes.
When it connects, after a delay, you will be prompted with a login screen to log into the remote PC.
For discussion of the new Windows Live Mesh (formerly Sync) go here: http://windowslivehelp.com/forums.aspx?productid=24
-steve