3. Definitely yes. Of course ask, because never assume. But I already know the answer you will get.
Best case scenario is new money goes to new vendor and you can politely ask the people at TIAA to transfer their money to your new platform. And good luck with that. Our experience is teachers view TIAA-CREF as the benefit itself. Our clients are extremely frustrated with them but the participants never want to go. Now granted, most of my clients are less than $50MM in assets. I have on in the 80 or 90 range, and there is a different level of service up there. I'm sure if you get into the billions they'll set up an office at your school :).