Dear Mr. Mukesh Gupta
Firstly to answer your query, yes undoudtly you can ask for damages from your ex-wife and the court fee will be proportonate to the amount of damages you are seeking. it depends upon the high court rules of your jurisdiction.
Secondly, i would also advice you to file a complaint under section 200 Crpc before the magistrate under section 500 r/w 211 IPC i.e. Criminal Defemation and false report. Your ex-wife will be summoned by court and will have to apply for bail and thus facing all the churns of a criminal courts which you faced.
I would advice you to go by the second option along with the first option, as civil remedy sadly in India is a slow and prolonged process.
Hope this helped.