#2 Can you hook up a computer via hdmi cable?
Yes, this TV includes one HDMI input port that will support connecting a computer (perhaps a Windows Media Center PC) to. If it help answer your question, I have previously used a dedicated Windows Media Center PC (Windows 7 based system) connected solely to this TV set using HDMI. It also supports expanding the HDMI to 3 ports by means of a separate HDMI switch (search on Amazon.com) which allow for the connectivity of 3 HDMI devices to this one HDMI port on the TV. I have connected a Blu-ray player, a Windows 7 based PC, and an XBOX game console to the switch in the past and they all work.