Character name: Coop.

Will your character be able to sense Hawke's magic/presence? Possibly! If you want him to. He might be able to tell Hawke is a witch mage.

Could Hawke’s equipment affect (or not affect) your character in any special way, whether because they’re a demon, undead, or some other reason? Coop's a magical being, so this is also possible.

Could Hawke’s spells affect (or not affect) your character in any special way, for whatever reason? Sure, just poke me about it first.

If your character is a demon, do you think they would be able to affect Hawke on a mental/magical level, if not through outright possession? If so, how would they be able to affect him and to what degree? Not a demon, and Coop doesn't usually use his abilities like that so ... no?

Is there anything Hawke may be able to sense about your character given his magical connection to the city? He might be able to tell that Coop is magical. Since, yeah. He is.

What, if anything, may he be able to sense about your character regarding the city's influence or degree of connection? I don't think anything else.

Is your character affected by anything that may block his ability to sense city connections? I don't think so.

Anything else I missed? Nopes.