Another Balk Question

[Hemibee]

While watching a high school summer league game the following occurred.

Count of 1-2, with a R2. The pitcher did not come set before the pitch, BU called “Balk,” pitch is hit, a chopper to F5 who looks R2 back to second, throws to first but BR beats the throw. BU then places BR at first and R2 at third. DC, BU and PU conference and R2 is moved back to second, BR remains at first. I overheard catcher ask PU what the ruling was and PU told him BR gets first due to hit, R2 goes back to second due to not advancing on hit. Never heard anything from the OC questioning the movement of his players.

I’m new to Umpiring but after 14 years of coaching I would have had a few things to say to the PU & BU if I have the rules correct which I guess they are playing FED rules. Since R2 did not advance on the play shouldn’t the outcome have been R2 to third and BR back to the plate with a 1-2 count?