Thanks for doing this... but as an NCAA ref, I'm gonna go through this a bit and fix some things...
"This denotes the area in which the offensive and defensive players must stay during a faceoff until possession of the ball is signaled."
Players do not have to be in the box til possession, they just have to be behind the restraining line. The "box" is only used now at the NCAA level to denote where restarts can happen. At the HS level, there is timing (think shot-clock) where teams have to get possession in the box by a certain time, but that gone at the college level.
"The shot clock runs for 80 seconds, and resets whenever the ball is turned over, or hits the goal or goalie for a save."
It is additionally reset with a defensive penalty (time served or not) or a defensive TO.
"on offense has 20 seconds to cross the midline if the ball was won in the defensive zone... Crossing the midline is allowed multiple times in the first 20 seconds of the shot clock, if the ball is being cleared from the defensive zone to the offensive zone only.
This is a misunderstanding of the rule. There is an 80 second shot-clock. For the first 20 seconds, you can have the ball wherever you want on the field. After the first 20 seconds, the ball must be in the offensive half and may not go in the the defensive half unless propelled there by a shot or the defense (that's called over-and-back). If you gain possession in the offensive half, you can take the ball back into your defensive half, you just have to get it in the offensive half by the time the shot-clock hits 60.
"The goalie is also the only player who can move the ball from the field of play into the crease"
No one can possess the ball and carry it into the crease, not even the goalie. Any defender can move the ball unpossessed (like kicking or raking) into the crease and then pick it up. But only the goalie has protection in the crease, other defenders may be checked.
"The goalie has 3 defenders who must always remain on the defensive side of the field... a long pole can carry the ball into the offensive zone, however another player must stay in the defensive end to maintain that 3 player minimum... Each team also has 3 attackmen, who are required to stay in their team's offensive half of the field at all times... each team has 3 players called midfielders, middies for short, that can go all over the field without restraint."
This is not a good way to explain offsides, it'll lead to confusion. The way that officials are taught to enforce offsides is that you may never have more than 6 players on your offensive half or 7 players on your defensive half. Usually, the 6 on offense would be your 3 attack and 3 middies while the 7 on defense would be your 3 close D, 3 middies, and 1 goalie. But players are free to move anywhere, but they cannot have more than those numbers on offense or defense. They changed from the minimum because often you will have only 2 on offense or 3 on defense because of substitution. We say to "count forward not back". We don't care how many you have on the side of the field the ball isn't in, but do you have too many players where the ball is?
"Attackmen generally have more lacrosse IQ "
Not a rule thing... but as a goalie... I take major offense to this...
"The other two defensive middies MUST carry a short stick by rule, making them the marked men of lacrosse"
Not really true... you can have a total of 4 long poles on the field at once... you can have 2 LSMs, that just means you also only have 2 long poles on defense. Teams will do this quite often on faceoffs to get an extra defensive advantage.
Otherwise... pretty good. I would add that NCAA games are 15 minute stop-time games in 4 quarters. Overtimes are 5 minute periods that are sudden-death.
Penalties are categorized into two types; technical and personal. Technical fouls are advantage-based and are usually non-violent (eg pushes, holds, offsides, illegal screen). If committed on offense or during a loose ball, the other team gets possession and no time is served. If committed on defense (when the other team has possession) they carry a 30 second penalty time. Personal fouls are safety or sportsmanship based (e.g. slashing, cross-checking, unsportsmanlike conduct) and are 1, 2, or 3 minutes in length, depending on severity and can also be made unreleasable depending on severity (usually reserved for USCs or hits to the head)
The officials will throw their flag (straight up, not at the penalty like in football) if the penalty will be timed served and the offense has a chance to score. If they succeed, the goal counts and technical penalties are wiped (personal fouls will still be served). If they fail (loose possession) play is stopped and the penalty time is enforced.