If the pitcher is in contact with the runner, the runner is safe if the pitcher drops the ball. If the pitcher is in contact with the rubber, it is a balk if he drops the ball.
yes it still is a force the runner has to go
Unfortunately he has to go back and get it.
If the pitcher drops the ball while contacting the rubber or in her motion it is called an illegal pitch. The batters' count will be given a ball and if a runner is on base they are allowed to advance to the next base.
He needs to catch it, and if he drops it the runner doesn't need to tag up.
No
This play is referred to as "redeye". If a batter misses (or does not swing) at the 3rd strike, and the catcher drops it, the runner must run to first before the catcher throws the dropped pitch to first. If the runner is beaten by the throw, it is simply a strikeout in the books. If the runner beats out the throw, it still goes as a strikeout, but his advance to first will be listed as an error by either the pitcher or the catcher (depending on how bad the pitch was, and the reason it was not caught). In Little League (60 foot basepaths) batter is out on strike three no matter what the catcher does.
Yes
It is scored as a strike out for the pitcher (as far as the pitcher's stats) but not an out against the team at bat. The base runner's advance to 1st is scored as a passed ball (error) on the cather.
If you mean a player on base? When a pitcher drops the ball it is a balk and base runners advance one base.
Yes, runner cannot intentionally dislodge ball from fielders glove.
the contact lens drops are of a different consistency than the regular and ingredients aren't as strong, I think
It depends on what is in the eye drops.