1) Agility has nothing to do with run speed. Being encumbered does. That also happens to lower your agility, but the two are not related.
2) Running and strafing, as well as running and jumping, both increase your run speed. You can easily see this because if you just run straight, monsters will catch up to you, but if you run and strafe or run and jump, you can outrun them. This is a very useful tool if you overpulled in an outdoor zone.
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