Check Google's terms of service.[1] They're not too bad. There's no forced arbitration. You can go to Small Claims Court in Santa Clara County, CA.
Google lists the reasons they can terminate an account. It's not a "sole discretion" thing; they have specific reasons listed. So Google will have to show in court that you violated those terms.
Definitely go. Google will have to send someone, or they lose.
In practice, you'll probably have your problem fixed shortly after your process server delivers the subpoena to 1600 Amphitheater Parkway.
California small claims court instructions: [2]