Lets say I have Blasting Station out. I Have Shirei, Shizo's Caretaker on the field and Ogre Slumlord. I use the station to sacrifice 4 1/1 creature cards. When those creatures return due to Shirei, could I respond to each creature with the station sacrificing the rat tokens?
Yes. You can activate Blasting Station in response to its triggered ability. If you have priority and you control the permanent, you can activate its ability. Simply apply this fact four times.
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Each time Shirei's ability resolves because a creature goes to your graveyard from the battlefield (such as the 1/1 nontoken creatures assuming you own them), that ability creates a separate delayed triggered ability (C.R. 603.7a). If four nontoken creatures go to your graveyard as you describe, those delayed triggered abilities will all trigger, if at all, as the next (same) end step begins (C.R. 603.7b). These abilities, after they trigger, will get to resolve one at a time, so that, for example, after one such ability resolves (and possibly returns a card to the battlefield, at least provided Shirei is still on the battlefield by then), you have priority to activate abilities, such as Blasting Station's first ability, before the next such ability (if any) gets to resolve (C.R. 116.1b, 116.3d, 116.4).
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