Correctable Error Situation

[drinkeii]

I just want to find out if this was handled correctly:

With several seconds left, there was a common foul on the floor. It was the 7th foul, but no one from the table notified us. The game restarted, and without further stoppage, the quarter ended. During halftime, the table notified us we missed the 1-and-1 situation. We decided to shoot the 1-and-1 to start the third quarter, without anyone on the lane, and proceed to begin the "real" third quarter with the AP arrow.

Was this correct?

BTW, no coaches in this league - Intramurals, with NFHS rules (except for a few minor changes, and Correctable errors are not one of them).

Thanks!