K-State has a variety of snap counts and signals. There are silent counts when Finney looks back and the QB gives him a signal (drops his right arm), then the center snaps when he's ready. There are multiple voice snap counts. There are the QB clapping and usually some voice cadence after that. A variety of counts are used with the goal of eliminating the defense from anticipating the snap. I'm sure there were probably more things used in Stillwater because of Joe Bob on the OSU staff.
On the first drive I'd say all the false starts were mistakes by the offensive linemen. The first one was the offensive lineman anticipating the count because he had a wide outside rusher. The 2nd one was a miscommunication because Finney didn't snap it. The 3rd one was a hard count and the tackle just moved. I'd say in part you could say getting used to a different cadence on the road in a pretty loud environment was part of it combined with additional snap counts because of being worried about Joe Bob knowing our system.