Book error technical and Coach's box

[Sharpshooternes]

Part way through the first quarter, A22 checks in to the game. Scorekeeper sounds the horn and informs us both books have the player listed as another number. We charge a technical and have them make the corrections in the book.

I just want to make sure we charged it correctly. We counted it as a team technical only and didn't charge the player or the coach with an indirect tech. Thus they can still use their coaches box correct?