All techs can hit multiple targets even Foie can hit multiple targets if the main bolt of fire isn't intercepted.
You can specialize in all three trees if you'd like, but most take advantage of either fire or lightning, raw damage or decreased PP usage. Ice tree is mediocre and doesn't offer much with the exception of taking some of your HP and converting it into T-ATK for increased damage. Fire tree allows you to charge PP while charging your techs and increases damage done with charged techs. Lightning tree offers decreased PP usage with Zonde based techs and increases the damage through Just Attacks.
Edit: Mess around with the skill tree
here and see the effects of each skill in each tree for all 6 classes.
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