Hi and thanks for using 2CarPros.com These cars are very touchy and can easily be damaged. A few years back, I had an issue with a customer's C230 which was basically the same as your issue. After a lot of checking, I found that when the new battery was installed, the crank position sensor (CPS) was damaged. Here is what I suggest. First, determine if there is spark to the engine.
Here are directions for checking spark:
https://www.2carpros.com/articles/how-to-test-an-ignition-system
Here are directions for a no start situation:
https://www.2carpros.com/articles/car-cranks-but-wont-start
I also attached two pictures of the crankshaft position sensor location.
Let me know what you find. I hope this helps.
Take care,
Joe
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Friday, May 25th, 2018 AT 9:16 PM