Not true. There are two types of defense in the game, positional and typed. While some attacks are non-positional by design, they are still typed. For example, while there are non-positional psionic attacks that bypass positional defense, they can still be defended by psionic defense. A few armor sets have psionic defense - stone, bio, willpower, the psionic mastery set, plus Arachnos Widows. I believe there are also a handful of toxic attacks that bypass typed defense (as there is no toxic defense), but these are pretty rare.
Not true. Several of the armor sets have psionic resistance - dark, elec, rad, willpower, as well as the psionic mastery and psychic mastery sets. I believe all the armor sets have toxic resistance.
Not true, there are definitely resistances to -speed, -defense, -endurance, -resist, -regen, etc.