Remote desktop. Use it daily.
Jack,
A few ideas:
First, is your screensaver set to come on often, like five minutes?
If so, does it automatically lock? If so, unlock it and change it to one hour.
Do you use wireless? Are you getting weak signals to that area?
If so, set up a wireless access point to increase the signal to that area.
Install the latest on the remote machine.
Java What browser are you using? If I.E. change to Firefox, if Firefox, change to I.E. Don't forget Chrome, etc.
You can always call Support @ 866-478-1805 or start a ticket.
Do you have the latest version of LogMeIn? If not, then download it. If so, then uninstall it and go back to the earlier one.