Correct on both counts! If your character expects that these are the sort of conditions that would trigger their powers, then it will! Conversely, if you want to play with the idea that it somehow ISN'T a situation desperate enough to set them off, you're also welcome to do that! The general rule of thumb is, characters will access their abilities via a means similar or comparable to the way they access them in canon, if that makes sense!
And yes, summoning monsters is fine — I'm assuming we're looking at Duel Monsters here, given Crow, so there shouldn't be a problem with him summoning a specific monster from canon (with regard to its appability as an independent character, which is preventing some other summoners from having their canon-specific summons...es). Just check the other questions for more details on how summoning monsters is working in this context, but in general you're probably good to go!
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Correct on both counts! If your character expects that these are the sort of conditions that would trigger their powers, then it will! Conversely, if you want to play with the idea that it somehow ISN'T a situation desperate enough to set them off, you're also welcome to do that! The general rule of thumb is, characters will access their abilities via a means similar or comparable to the way they access them in canon, if that makes sense!
And yes, summoning monsters is fine — I'm assuming we're looking at Duel Monsters here, given Crow, so there shouldn't be a problem with him summoning a specific monster from canon (with regard to its appability as an independent character, which is preventing some other summoners from having their canon-specific summons...es). Just check the other questions for more details on how summoning monsters is working in this context, but in general you're probably good to go!