Hi. New guy here. I've connected my H20 to my living room TV via HDMI. My projector in the basement has only DVI and component video inputs. I assume I can run component cables to the projector and display the same thing that's showing upstairs. Am I wrong about this? Also, will I be able to then use a second remote in RF mode from the basement while still using the first one upstairs in IR mode? Thank you.