Hello, my car shakes like hell when i turn it on and engine lights turn on. I think my engine mounts are broken. Any other opinion would be greatly appreciated.

 

Your mounts wouldn't cause your CEL (Check Engine Light) to go off.

You should check to see what code your CEL is throwing. Follow this link to see how to check your CEL - https://honda-tech.com/zerothread?id=978933 and if you don't feel like using that method you could just go to autozone, and rent a CEL checker and see what code is being thrown.

Ali