Your tv does not not have HDMI port so you do not need that.

Component cable is what you want to hook it up with. I read on Engadget.com that model is only coming with only composite cable (yellow), I think that will end up being wrong info, for $400 it should come with some HD cable since it an Elite model too. If you still kept the parts of the other 360 just use that cable, it just will not match the color.