Well, for question number one, I don't know what will happen if you put your computer to sleep while it is recording, but it seems like a fairly easy test to run.
On the second question, I don't know of any way to check in theater view (but I know it has been requested a few times), but in standard view: go to Drives & Devices - Television. You will see icons next to each show that is being recorded. You can also select the 'To Be Recorded' view and it will show only the shows scheduled to be recorded and if there is something recoding currently it will indicate 'Showing' in the Time column
You can also select 'Show Status...' from TV Options and it will show you what each tuner is doing.
I hope this helps,
Alex