1. The MSI GE620 should be able to handle everything just fine, though I’d suggest maxing out the ram to 16GB.
2. I don’t believe Producer Studio can currently use the TVS, so just use the Program output to the Shuttle.
3. Yes, audio is ignored on the inputs. It has an AES input for audio, which is then embedded on output. Basically, you’ll need an audio mixer with AES output.
4. Honestly, this is about as simple as it gets.