An Australian spent $100,000 $ to appeal an speeding violation ticket

Mustafa Al Shakarji from Queensland has led an had lead to a extreme his fight in order to for not paying a speeding violation ticket. As a result, he spent $100,000$ to prove legally his innocence.
The fine of $250$ arrived after a police radar detected that he was driving at 88 km/h in a road section with a speed limit of  in which it is only allowed 60 km/h. He denied he was driving at that speed and alleged that policemen detected that speed because the radar was used in an improper manner (or, used incorrectly) in a wrong road section.
Although his driving licence was not in danger, he decided to prove that the authorities were wrong. He recognized that a lot of people had called him crazy for the huge amount of money he had invested to reach his aim. Furthermore he decided to do it did without a lawyer and defended himself. The costs of proceedings have had been very expensive.

An Australian spent $100,000 to appeal an speeding violation ticket.

Mustafa Al Shakarji from Queensland had  initiated an extreme his fight for not paying a speeding violation ticket (this doesn't exactly sound perfect either, but I'm not sure what you're trying to say.). As a result, he spent 100,000 to legally prove his innocence.
The fine of $250 arrived after a police radar detected that he was driving at 88 km/h in a road section in which only 60km/h is allowed. He denied he was driving at that speed and alleged that policemen detected that speed because the radar was in a wrong road section (would sound better to say "the radar was in an incorrect section of the road" or "in a section of road where it is not allowed/accurate/etc).
Although his driving licence was not in danger, he decided to prove authorities were wrong (You can say "to prove THE authorities WERE wrong", or "to prove authorities wrong"). He recognized that a lot of people had called him crazy for the huge amount of money he had invested to reach his aim (aim is not wrong here, but it would sound a little better to say goal. We usually aim FOR something (aim for a goal), but REACH our goals). Furthermore he decided to do without a lawyer and defended himself. The costs of proceedings had been very expensive.

Great job! :)