If he had any idea of who the Avengers were, he might be a little more impressed. After she openly threatens him, he just shakes his head and starts pointedly ignoring her. Obviously she was overcompensating.

When they arrive, he sniffs the air experimentally. The smell of blood doesn't immediately strike him, even with his enhanced senses. Miku may have been imagining it in the stress of the moment. "No. Go home and get some rest, you'll need some energy for tomorrow." At least he could trust Miku to avoid doing anything inappropriate.

That said, he goes up to the door and gives the knob a little test. If it was locked, he could pick it. Or just yank the knob off and open the door that way.