Jesus healed an invalid near a pool in Jerusalem. What was the name of the pool?

The Pool was named Bethesda. An angel would stir the waters and whoever reached it first would be healed.

Source: John 5

Jesus cast many demons out of a man in the Gadarenes. Where did he send the demons?

He sent the demons into a herd of pigs, the pigs then drowned themselves.

Source: Matthew 8, Mark 5, Luke 8

I ruled a synagogue, Jesus healed my daughter when others thought she died. Who am I?

I am Jarius. Jesus healed my daughter.

Source: Matthew 9, Mark 5, Luke 8

In the Gospel of John Jesus and his disciples came upon a man born blind. What question did the disciples ask Jesus abut this man?

The disciples asked whether the man sinned or his parents. Many Jews believed that blindness was a punishment for sin.

Source: John Chapter 9

 When Jesus left Jericho he came upon a blind beggar and healed him. What was the blind man’s name?

The blind man by Jericho was Bartimaeus Son of Timaeus.

Source: Mark 10:46