Fifth Player runs onto the floor

[rainmaker]

GJV. Time out called, passes, ends. As P (T) is administering the throw-in to red, I'm trying to count players. Ball is inbounded, clock starts, players are passing the ball around, I realize there are only four red players. About that time, a red player who had been in the game before the TO jumps up and runs onto the floor. Easy T.

Okay, I know it shouldn't have happened, and if I'd been administering, it wouldn't have. Partner had been explaining a rule or something to the player who was inbounding and hadn't counted. I wasn't sure whether I was seeing everyone or not, so I didn't stop the action early enough.

Now, is this an individual T? We gave it to her, made sure they added it to the team total, and played on. At half-time, I was talking to the Varsity guys about it. We got all confused about team vs bench vs individual vs any other kind of technical and which kind gets the indirect onto the coach.

Came home and looked it up. We goofed. It's a team technical (10-1-9), no indirect on the coach, no individual gets a T.

Then, I had some questions. Is there such a thing as a bench technical that isn't also an individual technical? I can't tell if you can just give a T to the bench in general without specifying a certain person.

During a time-out, all team members are bench personnel. So when only four players enter the court, isn't that fifth player who's sitting on the bench by mistake still a bench personnel? So why isn't this a bench technical?

And why can't a JV coach even count to 5??