Correctable Error Situation....First Part...

[CMHCoachNRef]

Situation: A1 drives to the basket and is fouled by B1 before taking a shot. Scorer indicates that the foul is the 6th team foul on B for the half. A1 is given the ball under Team A's basket. A2 scores on the inbounds play. As soon as the ball goes through the basket, the horn sounds. The home team scorer had failed to count a technical foul on B4 during the quarter. Therefore, the foul was the 7th team foul.

Realizing that a correctable error situation has presented itself (2-10-1a):
Rule 2
SECTION 10 CORRECTABLE ERRORS
ART. 1 . . . Officials may correct an error if a rule is inadvertently set aside and results in:
a. Failure to award a merited free throw.
b. Awarding an unmerited free throw.
c. Permitting a wrong player to attempt a free throw.
d. Attempting a free throw at the wrong basket.
e. Erroneously counting or canceling a score.

The officials realize the time to be right via 2-10-2:
ART. 2 . . . In order to correct any of the officials' errors listed in Article 1, such error must be recognized by an official no later than during the first dead ball after the clock has properly started.

The officials award A1 a 1 and 1 free throw situation.

A1 makes the first free throw, but misses the second. A2 gets the rebound and scores the basket.

Was this situation handled correctly?