Good questions. Last night I paused the live feed and tried to FF after a few minutes and it took me straight to live. I didn't want to miss anything so I didn't try it again.
Yes, you have to scroll over to the game screen and click the expand arrow button in the right corner
Again, there are no real DVR capabilities. They have a FAQ/Knowledge Base on their site. From there : Can I stop, pause, or record live games on the SCHN+ app? Our app streams the live channel feed and does not have pause, rewind, or stop functionality for live content. You are also not able to record content or download it for offline viewing.