Deborah correctly prophesied that a woman would kill Sisera. Specifically who is the woman?

Jael killed Sisera. She was the wife of Heber and ally of Sisera

Source:

Judges 4:11, 17-22

At what river did the battle between Barak and Sisera take place?

The battle took place at the river Kishon. Barak with God’s help defeated the Canaanites.

Source:

Judges 4:7

Also, what is the name of military commander opposing Barak in the battle?

Barak faced Sisera in battle for the freedom is Israel.

Source:

Judges 4:2

How did Barak become the army commander for the nation of Israel?

Deborah summoned him. She also told him about God’s prophecy that he would defeat the Canaanites in battle.

Source:

Judges 4:6

Who conquered and also ruled Israel in the time of Deborah?

Jabin Kin of Canaan ruled Israel until defeated by Barak.

Source:

Judges 4:2 also verse 24