Try opening the RDP session at the command line, specifying exactly the resolution that you want:
mstsc /v:WIN8_VM_HOSTNAME /w:1360 /h:768
Another approach that should match the local desktop size exactly, assuming that the LCD TV is your only monitor on the client machine, is as follows:
mstsc /v:WIN8_VM_HOSTNAME /span
If you want the RDP session to launch in full screen mode, add /f
to the end of the command.
Don't expect the legacy network adapter to pick up the same static IP that was originally configured on your SBS 2008 server - it will appear as a new adapter by default and get an address via DHCP. So first, try to see if it connected to the network that way, it may just work! If not, try giving it a synthetic (non-legacy) network adapter. Windows Server 2008 should have a driver for the synthetic network adapter in 2012, and again, it should get an IP via DHCP by default.
Under Hyper-V manager, does the ctrl-alt delete work? Can you press this button and cause the log-in prompt to appear?

Once that's done, you should be able to click in the window and see that your keyboard is being captured here by the depressed keyboard icon in the bottom right corner:

With this done, you should be able to log in. And again, check DHCP and see that your machine is not coming up with a new IP address, you should be able to remote desktop into it. Finally, once you're connected, don't forget to install the latest integration services through Hyper-V manager by going to "Action" "Insert Integration Services Setup Disk" or pressing Ctrl-I:

That attaches a disk to the VM's cd-rom drive containing all the windows update packages necessary to update the integration services for your current version of Hyper-V.
If all else fails, boot the VHD using VirtualBox or VMWare and use the integration services disk on the server located at "C:\Windows\system32\vmguest.iso" to install the latest integrations.
Best Answer
Use Ctrl+Alt+Shift+Left-Arrow and it'll trigger mouse release, but not rotate the screen and you don't have to change configurations.