Nope, not mugged nor mistaken for a girl, and kidnapping would just be silly. Tony doesn't know anything about him, after all, other than he has similarly colored hair and a distinct fear of ghosts. Fortunately for Jacob, Tony's too distracted keeping an eye out for ghosts to notice the blushing.

"Woodened? Got it, come on then let's get you home."

Tony gives him a little tug to nudge him along, letting him hunker down under his arm. Fortunately the ghosts aren't hostile, so they're really in no danger. Lady, meanwhile, makes gleeful circles around them while they walk because she is a bundle of energy at all times.