for the front, buy a new spoke and true it up.
for the rear, it may be the nds spokes are too long. but it shouldn't be that much of a problem. if you feel the ds can be tightened any more, you may try to tighten all on the rear the same small amount. you might want to remove the tire and rim tape so you can see if the spokes are too long.
sheldon says not to worry so much about rear nds spokes having such travel, given the ds is in good tension and the wheel is dished properly. i don't know. i'd like to hear what others think about a rear wheel like that.
if you're experiencing pinging when truing the wheels, you may wish to start by dripping a lubricant on the spoke/nipple, and let it work down into the nipple.