When they first start investigating the hotel room Eames looks through the girls clothing and announces a guys name on a napkin "Pete & a phone number," before she even fully opens the napkin & rotates it right side up.
When Alice and Megan arrive at the Brooklyn Lights Inn, the desk clerk tells them there is only one vacant room available, which they take. However when Goren and Eames investigate after Megan is killed in the hotel room, they find evidence that the killer was hiding across the hall, in another room which was vacant.