Imbicatus
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One attack. In order to make all of your attacks you need to make a full attack action, which you cannot do if you move more than a 5' step. Haste does nothing as the extra attack granted by haste can only be used with a full attack action.
At 9th level, you can make two attacks with a standard action, which allows you to make two attacks on a move. Again, haste does not affect this.
Nefreet
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Traivar, you said "Two Weapon Fighter".
Did you mean Two Weapon Warrior?
Because just using Two-Weapon Fighting (the feat) only grants you extra attacks during a Full Attack Action (which you can't usually take if you move more than 5 feet).
A Two Weapon Warrior may make two attacks as a Standard Action by level 9, when they get their Doublestrike class feature.