Duke Farrell, Washington (NL) threw out 8 on May 11, 1897.
AL record is held by Wally Schang of the Philadelphia A's with 6 on May 12, 1916.
3
Yadier Molina of the St. Louis Cardinals.
A wild pitch is one that bounces before reaching the catcher that he cannot stop or a pitch that is beyond his normal reach. Most times these pitches go behind him or to his side allowing base runners to advance. A passed ball is a pitch that is mishandled by the catcher and normally goes behind him or to his side. Base runners may advance on these also.
foul ball
If it is a batted ball, the batter and all runners are awarded 3 bases. If it is a thrown ball, the batter and all runners are awarded 2 bases from whatever base they had occupied when the ball was thrown.
yes
second base
In general, if there are base runners, the pitcher should run to cover home. If there are no runners on, the pitcher can just stay on the mound.
The catcher needs to catch the ball because the ball is still a "live" ball. (Unless it's a foul ball that the catcher wouldn't likely catch that anyway. Any base runners may advance when the ball is "live" at their peril. If the ball is not caught, there isn't much peril to runners running to the next base.
To the cut off man.
The vast majority of Balks are called on the pitcher, but a Balk can also be called on the catcher. With runners on base, if the catcher steps out of the catcher's box before the pitcher releases the ball, it's Balk on the catcher. When this happens, it is almost always while attempting to give an intentional base on balls.
Left-handed players typically do not play catcher in baseball because the position requires quick and efficient movements to throw out base runners. A left-handed catcher would have to turn their body in an awkward way to make throws to second or third base, which could slow down the play and give base runners an advantage.