What do these icons mean?

[Elwin]

Wait is wait until end of turn, not just skip turn like in homm series.

[Vomaxx]

The broken arrow indicates not out of range but out of most effective range--fire at half-strength or so. "Wait" means you reserve part of your move for later in the turn--but all movement points have to be used up each turn.

[Metathron]

Originally Posted by Elwin

Wait is wait until end of turn, not just skip turn like in homm series.

Wait also works like that in HoMM III-V.

[BB Shockwave]

Broken arrow means the archer will only inflict half the damage on that enemy as it is out of range. You need to move the archer closer - or wait for the enemy to come nearer - in order to inflict full damage. Keep in mind though, this doesn't have to be half the size of the arena - for some units their full range is in 5 hexes, for others, more or less. Some, like the Cyclops or the Archmage, can shoot for full damage anywhere.