Helping people with computers... one answer at a time.
One common problem connecting with Remote Assistance typically involves a router 'getting in the way'.
I get the message: 'Remote Assistance connection could not be established because the remote host name could not be resolved.' - What does that mean?
Essentially it just means that remote assistance didn't get a response from the target computer. The most likely cause in home scenarios is that there's a router in the way at the remote site. For Remote assistance to work, port 3389 must be forwarded on that router to the target computer's internal IP address.