A:AnswerThe easy answer is, if you can hook it to a TV and use it, you can hook it to this projector and it'll work just fine. Think of it as a TV with a detached screen. Yes, it will work with your satellite receiver.
A:AnswerYou should look at short throw projectors for these distances. Short throws are typically used in schools and classroom environments.
For example; best Buy carries the BenQ HT1085ST that is HD (1920x1080) and is short throw