Wrong basket

Tied game with 5 seconds remaining in the 4th quarter, A1 misses her second FT. After the rebounding, B1 gets fouled on the unsuccessful try at Team As basket.

Partner & I came to the conclusion that a foul is a foul on that live ball situation. B1 shot 2 on the other end at the correct basket. Ball game…
Half the crowd went nuts as the Team A coach thought we should've went with a IW resulting in a jump ball favoring guess who? Team A

1> Was that handled correctly?

2> Had B1s try been successful, Team A would have been awarded 2 points & B1 shoots 1 on the other end?

3> B1 doesn’t shoot the FT if time had expired? ie: 1 point wouldn’t affect the outcome.