A:AnswerHi Czar! Yes, you can. All the Roku menus are internal on the device itself. You're only connecting to the Internet to update the device and accessing the apps. You can even access the same apps as long as your subscription supports it.
For example, if you have the 4K level membership on Netflix, you can have 4 people signed in to the service at the same time. Why that works is because each Roku has a different network MAC address. Keeps each device unique.
A:AnswerYes. You just need an HDMI cable. The Ultra will figure out the resolution of your TV and adjust accordingly. If you are full HD then that would be 1080p. I ran the older version on a full HD TV for a year before upgrading to 4K.