Three things:
1. Linden and Holder should have checked public transportation and cabs from the very beginning. It took them this long to figure this out?
2. Why haven't Rosie's cell phone records been checked? Why can't they see who she called and who she texted that night?
3. Linden, (I'm guessing) has lived in Seattle for a while and been a detective in this city. You would for sure know of an Indian Casino across the water with that logo. Or if she didn't know the logo, someone at the Police station sure would have recognized it.
Honestly, I have to say that the 10th episode kinda disappointed me and ruined the show. The simple fact of the Casino logo, cab's security camera, and her cell phone records.
Come on!