Correctable Error-Break Down

[The_Rookie]

Player A1 is fouled by B2.

Team A inbounds the ball and during their possession Team B steals a pass and drives to the other end and scores. Team A inbounds the ball and as they are bring the ball up court the table sounds the horn and lets the officials know that the previous foul by B2 was the 7th team foul and A1 should have been awarded a 1&1 bonus freethrow.

Questions: HS Rules

1) Is this correctable error within the allowed time frame?

2) Since the clock does not stop after made basket is the ball still considered live and not a dead ball?

3) When do you shoot the FT with the lane occupied and cleared?

Thanks!