That home plate is in FAIR TERRITORY!!!
Absolutely cannot believe that people actually think if the ball hits homeplate is a foul ball.
One thing I would definitely suggest talking about and maybe even doing is the appeal process. Runner leaving early, etc.
We had one last year where I was catching with a runner on second. Fly ball to the outfield so rather so I was watching the baserunner at 2nd. I thought he left early and told my coach right away. The base umpire was signaling safe so I let it go. After the next batter, the plate umpire asked me why I didn't appeal it. Somehow, something got screwed up.
So defintely something to look at.