'Sue' in the Bible

"Is this a contest of strength? He is obviously stronger! Is this a matter of justice? Who can sue him?

“You would lie down with no one to frighten you,And many would entreat and seek your favor.

And if any man will sue thee at the law, and take away thy coat, let him have thy cloke also.

Instead, does a Christian sue a Christian, and do this before unbelievers?