I don't know how level 2 charging stations work in Texas, but I'll try to describe charging at these stations in our country (Czech Republic, Europe). Because if I don't follow a certain procedure to start charging, I will also get a C2 error and charging won't start.
The procedure is as follows:
1) I park the motorcycle and turn off the ignition
2) I plug one end of the charging cable into a socket on the charging station.
The station detects that the cable is connected and instructs me to connect the cable to the charging port of the motorcycle.
3) I connect the other end of the charging cable to the bike and the charging station informs me that the bike is connected to it.
4) At this critical moment, I must (using a mobile application or chip) enable charging as soon as possible and the charging station will start communication with the connected motorcycle. Then level 2 charging starts successfully.
But, I have to allow charging to start before the motorcycle finds out that the cable from the charging station is connected to it (point number 3), its display lights up and starts communicating with the station!!!
If I don't make it fast enough, charging will not start, the station will report that it is busy and error C2 will appear on the motorcycle display!