A:AnswerYes you can. You can use downloader to sideload just like on the actual firestick. I don't use Kodi myself but I did see it on Aptoide available for download.
A:AnswerIt does not have internal DVR capabilities but you would be able to connect to external DVR. You also have the capability to connect your DirecTV to it.
A:AnswerTo search for available apps to download on your Fire TV Edition television, please visit: amazon.com > Menu - Shop By Category > Fire TV > Fire TV Apps & Channels > Refine by Device Type select Fire TV Edition TV and search.
David M. - Toshiba Support