Wes would have asked Mikasa if she'd be interested in volunteering for a neighbourhood watch or other security assistance in the building.
He'd let SI talk to the Tesseract questions, although note that while current situation is different, SHIELD had kept security around the Tesseract to take care of threats if they came through. He would assume the Asgaardians will be doing the same, and there is the separate issue that anything arrives in a different world now (well, until SWORD has the Tesseract, which it basically does now, but Wes doesn't know that last night! lol)
He's done plenty of research and found nothing concrete, he'd probably leave it open to the group to seek her out if they had ideas or further information and welcome her to come and talk to him after the meeting if she wished.