HR54-700

Yes, through a splitter.  My Genie is in my Family Room and I have it going through a powered splitter so it also services my Bedroom TV.  Then I have two remotes.  One programmed for my Samsung TV and one for my bedroom LG TV and of course they both operate the Genie.  I simply punched a small hole through the wall for the HDMI cable to my bedroom.

Yes-You will need a HDMI Splitter and HDMI (to watch in HD) cable to reach the other display (NOTE) you will only be able to watch the same program on each TV. 

But it can be done --Look on You tube for video's as well for suggestions. 

That's a good question! HR54-700 can support multiple TVs using an SD Splitter. This high-definition receiver is compatible with 4K, has built-in Wi-Fi, and can support up to 8 registered Genie minis and up to 3 active streams simultaneously. Learn more here: Exchange, Set up, and Activate Your Genie 2 DVR | DIRECTV Customer Service & Support Iara, DIRECTV Community Specialist

Note that you'll need a POWERED HDMI Splitter that supports HDCP copy protection. 

Yes by a powered HDMI splitter that supports HDCP 2.2