I assumed as much for the first game.
The 4th quarter, especially playoffs in my experience, the home team almost always wins it. You can probably go back and find almost all your home games where you tried, and see that you won the 4th.
The 4 fouls in 5 seconds is common if your down late in the 4th. It fouls you until your one foul away from the bonus. To save time I guess?
The rash of 3's I don't know why it happens, maybe the D steps up in the last 2 minutes? My OD wasn't good enough to restrict your LI, so I'm going to say that your bigs passed out of the inside shot, and you were forced to take a three. If your bigs have good passing they pass out of a shot instead of forcing a bad one, which is why one of my main criteria for buying a big is passing.
And your chance of making a three in an inside offense is decreased. That I learned from the NT.