Yes. They do 0.75x damage in Double Battles, and 0.5x if hitting all 3 Pokemon in a Triple Battle
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A Water Pokemon's weaknesses are Electric and Grass. Basically any type of Pokemon can beat a water Pokemon if it's strong enough, but Electric and Grass attacks do 2X damage against Water types. Water types also only take half damage from Fire, Ice, Steel, and Water attacks, so those wouldn't be the best ones to use. Water attacks do half damage to Dragon, Grass, and Water Pokemon. Its strengths are against Fire, Ground, and Rock.
catch a dark type Pokemon (e.g murkrow) and then battle the psychic trainer. her Pokemon do no damage to it and you get 10k each battle, not to mention the very easy exp ;)
An HP UP increases the maximum number of HP (hitpoints) a Pokemon has. This allows it to absorb more damage from attacks before it faints.
Ice-type Pokemon are resistant to only Ice-type attacks. In offense, Ice-type Pokemon can do 2x the damage to Grass, Ground, Flying, and Dragon-type Pokemon.
Aggron is a Steel/Rock-type Pokemon, so its weaknesses are Fighting (4x the damage), Water, and Ground-type attacks. (4x the damage as well.)