Yes.
However, rules state a pitcher must pitch one complete at bat before being taken out of the game (unless the pitcher gets injured and cannot continue). So, as long as the batter being pitched to is not the first batter the pitcher is facing, the pitcher may be removed in the middle of the count.
Yes, pitchers and hitters can be substituted at any time.
Hitters can be substituted at any time, but unless he is injured, a pitcher must pitch to at least one batter before he can be taken out. A pitcher can be removed in the middle of an at-bat, however, if he had pitched to at least one hitter previously.
Yes, the count reverts back to zero if the count is in the favor of the pitcher unless the pitcher leaves injured or is traded!
The new pitcher...he is the one who actually has to stike them out, he could still walk them even if the old pitcher had 0-2 count.
The pitcher who pitched the 1-1 count is responsible for the batter if he gets on base.
No, the new pitcher inherits the existing count.
A relief pitcher can enter the game at any time or any count on the batter
A pitchers count is when the pitcher is leading the count and not the batter he is facing. (ex. If the count is 1-2 it would be a pitchers count because there are more strikes then balls.)
yes
The pitcher giving up the last to balls gets "credited" with the walk.
A "hitter's count" is a baseball term that means the batter has more balls than strikes in the current at bat. A count of 2 balls and 0 strikes or 3 balls and 1 strike or 3 balls and 0 strikes would be considered a "hitter's count" and a count of 2 balls and 1 strike could also be considered a "hitter's count" because if the pitcher throws a ball on the next pitch the count goes to 3 balls and 1 strike and then one more ball allows the batter to reach first base on a base on balls. So the pitcher must throw a ball over the plate and should he make just the slightest of errors allowing the ball to cross, say, the middle of the plate at belt height, the batter may be able to hit it hard somewhere to get a base hit and start a rally or knock in a run or two should there be runners on base. When the count is 3 balls and 1 strike, for example, the batter does not have to swing at a pitch that he doesn't think he can hit hard because, if the pitch is called a strike, the batter still 'alive' and able to do damage on the next pitch. When the count favors the batter, the batter can be more selective in what pitch they decide to swing at. Just like there is a "hitter's count", there is a "pitcher's count". This would be when there are more strikes than balls (0 balls and 1 strike, 0 balls and 2 strikes, 1 ball and 2 strikes). This count allows the pitcher to not have to throw a strike on the next pitch since a ball will not put the batter on base or change the count to a "hitter's count". The pitcher may try to throw something like a curve ball that starts out over the plate and then curves off the plate in the hopes that the batter will be fooled and swing at the pitch, a pitch that the batter will not be able to hit hard even should he make contact. When the count is 1 ball and 2 strikes, for example, the pitcher does not have to throw a pitch that is a strike because, if the pitch is called a ball, the pitcher can throw a strike that is not over the middle of the plate on the next pitch to get the batter out. When the count favors the pitcher, the pitcher can be more selective in what pitch they throw and the location of that pitch.
No it doesn't count as a walk it counts as a hit by pitch or HBP.
I think you're asking, "if the pitcher throws a ball that is waaaay out of the strike zone, but the batter swings at it anyway, does it count as a strike?" The answer is YES - if it were a foul ball it would count as a strike, so why should it be any different if it is put into play?
As long as the pitcher has pitched to at least one batter previously, a change can be made during an at bat. If the batter is the first batter the pitcher has pitched to, (s)he may not be taken out unless having suffered an injury that the umpires deem is serious enough to warrant being taken out of the game.