1. You must tag the base with your foot on a force out or appeal.

You may tag the base with any part of the body or glove as long as you have firm and secure possession of the baseball in your hand or glove/mitt.

2. The ball is always immediately dead on a balk.

You are correct in high school baseball but in NCAA and professional rules, the ball is dead sometimes immediately but when the balk is followed immediately by a pitch, the ball is delayed dead and we wait until the end of the play and then either enforce the balk or allow the play to stand.  If all base runners, including the batter-runner advance one base or more after the balk, the play stands.  The coach or manager does not have an option on this rule.

3. If a player's feet are in fair territory when the ball is touched, it is a fair ball.

It is the location of the baseball when it is touched or touches the ground that determines it being fair or foul and not the position of the fielder’s feet.

4. The ball must always be returned to the pitcher before an appeal can be made.

If the ball is live, you may go directly to the missed base or the runner and tag him for missing the base or leaving it too soon on a fly ball that is caught.

5. With no runners on base, it is a ball if the pitcher starts his windup and then stops.

For a balk to be awarded, there needs to be runners because the penalty is 1 base awarded.

6. The pitcher must come to a set position before a pick-off throw. 

The pitcher need only come to a complete and discernible stop prior to pitching the ball and not for a pick off attempt.

7. The pitcher must step off the rubber before a pick-off throw.

In fact, if he does step off first and the ball is thrown away into dead-ball territory, the award is 2 bases.  From the rubber, it is only a 1 base award.

8. If a fielder catches a fly ball and then falls over the fence it is a home run.

If the catch occurs before leaving the field of play it is a catch and not a home run.

9. The ball is dead anytime an umpire is hit by the ball.

This is only true on a batted ball that the ball is dead.  On a thrown or pitched ball, it is unfortunate but the ball remains live.

1. The home plate umpire can overrule the other umps at anytime.

The home plate umpire has no more right to overrule his partner(s) than they have to overrule him.  In certain situations the UIC may have to change a call because of more correct information but no umpire has the right to overrule another.