# the prince of the land

This is referring to Hamor not Shechem. Also, "prince" here does not mean son of a king. It means Hamor was the leader of the people in that area.

# He took her and lay with her

"he grabbed her and had sexual relations with her" or 2) "took" and "lay with" are a hendiadys, two words used to describe one action, Alternate translation: "raped her" 

# lay with her

"had sexual relations with her"