Ok - I'm travelling and wanted to answer a few of the questions - but won't quote everything here:

Title is being fixed - my bad

I'm pretty sure that choosing miles for a stay will still trigger the free nights provided that you choose that but not the 3,000 bonus points - so if you plan on choosing miles, you should not choose the bonus points.

Check-in on 1/30 check-out on 2/2 - probably won't trigger this FFN (or bonus points) automatically but I'm sure that CS will be able to manually adjust it.

Capacity control - I'm hoping that you are right in that it will match the point award inventory but I put that in the FAQs more as a warning since we're not 100% sure.

Redemption past 3/31 - It's too early to tell (or ask about) but in the past Hyatt has usually granted a 1 month extension (at least) to members (at least Diamonds).