2. If I am away, can I log in on my comuter or Android and watch.
No and no. A Roku player shows on an attached device. That's not to say that something couldn't be rigged up, but you'd be looking at expensive hardware and lots of configuration.
Now, the Roku Channel can be watched over a web browser on a computer or phone, but just being able to send whatever the Roku device is displaying to a remote display is not supported. Roku players can only send their output via a connected HDMI cable.
Dan Roku Stick (3600), Ultra (4640), Premiere (3920), Insignia 720p Roku TV, Sharp 4K Roku TV, Nvidia Shield, Windows 10 Pro x64 running Serviio and Plex on a wired Gigabit network.