1. I understand what you are saying. And for everyone to know, he isn't playing the game wrong. As some of you said, skirmish mode wishes it was as smart as a rock. One man gets attacked, they all stop and turn around to help out (it does this even without skirmish mode on), so you lose more men. Skirmish mode also is a procrastinator and waits to the VERY LAST SECOND before trying to run, and sometimes your men won't get away even though they should.
2. What you are talking about is when you send your men running towards the enemy and then BAM! The bulk of the unit all stops at about 50 yards away while the few men in the front of the unit don't get the message or something, keep going, and attack the enemy (and so get slaughtered). I have seen this a lot. When this happens, I order my men to run towards an area BEHIND their target so they rush forward into the enemy unit and get in the fight. You will lose some men, but it is better than them being stupid this way. Make sure that once they are in the fight to order them to attack the enemy or they will keep trying to run past their foes.
3. I have noticed this problem in Kingdoms deployment phase as well. The stupid computer gets so picky and annoying you want to go out and kill all the fluffy kittens in your neighborhood. What happens is when you try to deploy your units in a clearly open space, you try to set them there, and they ABSOLUTELY REFUSE TO MOVE THERE. If you tell them to move there in the battle, they will move there with no problem, but won't in deployment. Just set them as close as you can to where you need them and then move them as soon as the battle begins. Avoid the urge to kill the fluffy kittens and/or your computer from frustration.

4. As for cavalry, I find you usually only get good results from a cavalry charge in the enemies' flank (once they are no longer using basic units that don't have very good defense). Of course, in Kingdoms, stupidity ran rampant throughout CA while working on the supposed problem of cavalry being overpowered. Instead of being smart and making cavalry more expensive and increasing the stats of spearmen so they can better fight cavalry, they increase spearmen stats, lower many heavy infantry stats (armoured sergeants have the same defense as DFKs? WTH?), lower cavalry stats AND take away cavalry's good stamina. I threw darts at a picture of CA for a month.
5. Yep, I have seen the archer problem too. I think that has mainly happened in Kingdoms, though. The problem isn't that they are out of range but that they are going on strike for some apparent reason (perhaps because upkeep gives them 1 florin a turn? Kind of hard to live off of

). I think I was able to correct this by moving the archers somewhere else. I haven't seen any group of people so picky since that time I cloned my brother... where the mass grave for those clones is I will never tell.
