# being moved with jealousy

"feeling very jealous" or "feeling very angry" because some of the Jews and Greeks believed Paul's message. 

# took certain wicked men

Here "took" does not mean the Jews took these people by force. It means the Jews persuaded these wicked men to help them.

# from the marketplace

"from the public square." This is a public place of business, where buying and selling of goods, cattle, or services take place.

# set the city in an uproar

"caused the people of the city to be in an uproar" or "caused the people of the city to riot"

# Assaulting the house

"Violently attacking the house." This probably means the people were throwing rocks at the house and trying to break down the door of the house.

# Jason

This is the name of a man.

# they were seeking to bring Paul ... out

The word "seeking" here means that the people wanted to bring Paul out and were trying to bring him out.

# out to the people

Possible meanings or "people" are 1) a governmental or legal group of citizens gathered to make a decision or 2) a mob.