Q: If I have a card like Flashlight that indicates an activate action  and Investigate - is it considered an activate action, an Investigate action or both? What about when you play cards with a designator like Spectral Razor? Is that a play action or a Fight action? Both? A: Activating an ability with an action designator or playing a card with an action designator counts as both actions. Using a Flashlight, for example, would count as both an activate action and an investigate action.
Q: Would using Flashlight twice while triggering Haste allow you to either Investigate as a free action or use a card activation action? A: Yes, if you used Flashlight twice in a row and then triggered Haste, you could take either an additional activate action, or an additional investigate action (but not one of each).