Hey all!
We're working overtime to address these issues- we blew through our highest predictions in the first few hours of being live and are in uncharted territory as a studio now. We appreciate the frustration here as we've been hyping launch up, but hopefully things should be back to normal pretty soon.
Regarding lag input, make sure your TV is set to 'game mode'! We're also looking into this as a team right now as it's worse than expected- some last minute performance fixes haven't had the effect we hoped they'd have.