You can split the signal from TV2 to multiple TV's. Keep in mind the picture will be the same on all tv's mirrored off of TV2. Just use a splitter on the TV2 home distribution port on the back of the receiver.
Do you care if the signal is HD to your new HD Monitor? If so, is it close to TV1? That would give you some options, but as stated before, you would watch the same thing on both TV1 and the HD Monitor.